Finding the Third Proportional to 1,200,715,748,997 and 1,829,207,388,146

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200,715,748,997 : 1,829,207,388,146 = 1,829,207,388,146 : x
2. Step 2: Convert to fraction form
   1,200,715,748,997/1,829,207,388,146 = 1,829,207,388,146/x
3. Step 3: Cross multiply
   1,200,715,748,997x = 1,829,207,388,146 × 1,829,207,388,146
4. Step 4: Simplify right side
   1,200,715,748,997x = 3,345,999,668,847,911,003,750,400
5. Step 5: Solve for x
   x = 3,345,999,668,847,911,003,750,400/1,200,715,748,997
6. Step 6: Final answer
   x = 2,786,670,926,606.02