Finding the Third Proportional to 152,866 and 316,532

Step by Step Solution

1. Step 1: Write the proportion equation
   152,866 : 316,532 = 316,532 : x
2. Step 2: Convert to fraction form
   152,866/316,532 = 316,532/x
3. Step 3: Cross multiply
   152,866x = 316,532 × 316,532
4. Step 4: Simplify right side
   152,866x = 100,192,507,024
5. Step 5: Solve for x
   x = 100,192,507,024/152,866
6. Step 6: Final answer
   x = 655,427.02