Finding the Third Proportional to 152,862 and 312,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,862 : 312,526.50 = 312,526.50 : x
2. Step 2: Convert to fraction form
   152,862/312,526.50 = 312,526.50/x
3. Step 3: Cross multiply
   152,862x = 312,526.50 × 312,526.50
4. Step 4: Simplify right side
   152,862x = 97,672,813,202.25
5. Step 5: Solve for x
   x = 97,672,813,202.25/152,862
6. Step 6: Final answer
   x = 638,960.72