Finding the Third Proportional to 186,892 and 268,650

Step by Step Solution

1. Step 1: Write the proportion equation
   186,892 : 268,650 = 268,650 : x
2. Step 2: Convert to fraction form
   186,892/268,650 = 268,650/x
3. Step 3: Cross multiply
   186,892x = 268,650 × 268,650
4. Step 4: Simplify right side
   186,892x = 72,172,822,500
5. Step 5: Solve for x
   x = 72,172,822,500/186,892
6. Step 6: Final answer
   x = 386,173.95