Finding the Third Proportional to 93,532.50 and 206,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,532.50 : 206,752.50 = 206,752.50 : x
2. Step 2: Convert to fraction form
   93,532.50/206,752.50 = 206,752.50/x
3. Step 3: Cross multiply
   93,532.50x = 206,752.50 × 206,752.50
4. Step 4: Simplify right side
   93,532.50x = 42,746,596,256.25
5. Step 5: Solve for x
   x = 42,746,596,256.25/93,532.50
6. Step 6: Final answer
   x = 457,023.99