Finding the Third Proportional to 207,624 and 311,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,624 : 311,437.50 = 311,437.50 : x
2. Step 2: Convert to fraction form
   207,624/311,437.50 = 311,437.50/x
3. Step 3: Cross multiply
   207,624x = 311,437.50 × 311,437.50
4. Step 4: Simplify right side
   207,624x = 96,993,316,406.25
5. Step 5: Solve for x
   x = 96,993,316,406.25/207,624
6. Step 6: Final answer
   x = 467,158.50