Finding the Third Proportional to 85,557 and 206,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,557 : 206,116.50 = 206,116.50 : x
2. Step 2: Convert to fraction form
   85,557/206,116.50 = 206,116.50/x
3. Step 3: Cross multiply
   85,557x = 206,116.50 × 206,116.50
4. Step 4: Simplify right side
   85,557x = 42,484,011,572.25
5. Step 5: Solve for x
   x = 42,484,011,572.25/85,557
6. Step 6: Final answer
   x = 496,557.99