Finding the Third Proportional to 152,649 and 309,438

Step by Step Solution

1. Step 1: Write the proportion equation
   152,649 : 309,438 = 309,438 : x
2. Step 2: Convert to fraction form
   152,649/309,438 = 309,438/x
3. Step 3: Cross multiply
   152,649x = 309,438 × 309,438
4. Step 4: Simplify right side
   152,649x = 95,751,875,844
5. Step 5: Solve for x
   x = 95,751,875,844/152,649
6. Step 6: Final answer
   x = 627,268.28