Finding the Third Proportional to 1,200,715,748,993 and 1,829,207,388,140

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200,715,748,993 : 1,829,207,388,140 = 1,829,207,388,140 : x
2. Step 2: Convert to fraction form
   1,200,715,748,993/1,829,207,388,140 = 1,829,207,388,140/x
3. Step 3: Cross multiply
   1,200,715,748,993x = 1,829,207,388,140 × 1,829,207,388,140
4. Step 4: Simplify right side
   1,200,715,748,993x = 3,345,999,668,825,960,499,642,368
5. Step 5: Solve for x
   x = 3,345,999,668,825,960,499,642,368/1,200,715,748,993
6. Step 6: Final answer
   x = 2,786,670,926,597.02