Finding the Third Proportional to 93,744 and 206,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,744 : 206,248.50 = 206,248.50 : x
2. Step 2: Convert to fraction form
   93,744/206,248.50 = 206,248.50/x
3. Step 3: Cross multiply
   93,744x = 206,248.50 × 206,248.50
4. Step 4: Simplify right side
   93,744x = 42,538,443,752.25
5. Step 5: Solve for x
   x = 42,538,443,752.25/93,744
6. Step 6: Final answer
   x = 453,772.44