Finding the Third Proportional to 153,363 and 206,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,363 : 206,500.50 = 206,500.50 : x
2. Step 2: Convert to fraction form
   153,363/206,500.50 = 206,500.50/x
3. Step 3: Cross multiply
   153,363x = 206,500.50 × 206,500.50
4. Step 4: Simplify right side
   153,363x = 42,642,456,500.25
5. Step 5: Solve for x
   x = 42,642,456,500.25/153,363
6. Step 6: Final answer
   x = 278,049.18