Finding the Third Proportional to 137,892 and 206,838

Step by Step Solution

1. Step 1: Write the proportion equation
   137,892 : 206,838 = 206,838 : x
2. Step 2: Convert to fraction form
   137,892/206,838 = 206,838/x
3. Step 3: Cross multiply
   137,892x = 206,838 × 206,838
4. Step 4: Simplify right side
   137,892x = 42,781,958,244
5. Step 5: Solve for x
   x = 42,781,958,244/137,892
6. Step 6: Final answer
   x = 310,257