Finding the Third Proportional to 206,892 and 269,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,892 : 269,437.50 = 269,437.50 : x
2. Step 2: Convert to fraction form
   206,892/269,437.50 = 269,437.50/x
3. Step 3: Cross multiply
   206,892x = 269,437.50 × 269,437.50
4. Step 4: Simplify right side
   206,892x = 72,596,566,406.25
5. Step 5: Solve for x
   x = 72,596,566,406.25/206,892
6. Step 6: Final answer
   x = 350,891.12