Finding the Third Proportional to 85,574 and 206,154

Step by Step Solution

1. Step 1: Write the proportion equation
   85,574 : 206,154 = 206,154 : x
2. Step 2: Convert to fraction form
   85,574/206,154 = 206,154/x
3. Step 3: Cross multiply
   85,574x = 206,154 × 206,154
4. Step 4: Simplify right side
   85,574x = 42,499,471,716
5. Step 5: Solve for x
   x = 42,499,471,716/85,574
6. Step 6: Final answer
   x = 496,640.00