Finding the Third Proportional to 107,406,996 and 165,188,196

Step by Step Solution

1. Step 1: Write the proportion equation
   107,406,996 : 165,188,196 = 165,188,196 : x
2. Step 2: Convert to fraction form
   107,406,996/165,188,196 = 165,188,196/x
3. Step 3: Cross multiply
   107,406,996x = 165,188,196 × 165,188,196
4. Step 4: Simplify right side
   107,406,996x = 27,287,140,097,734,416
5. Step 5: Solve for x
   x = 27,287,140,097,734,416/107,406,996
6. Step 6: Final answer
   x = 254,053,656.78