Finding the Third Proportional to 83,892 and 186,432

Step by Step Solution

1. Step 1: Write the proportion equation
   83,892 : 186,432 = 186,432 : x
2. Step 2: Convert to fraction form
   83,892/186,432 = 186,432/x
3. Step 3: Cross multiply
   83,892x = 186,432 × 186,432
4. Step 4: Simplify right side
   83,892x = 34,756,890,624
5. Step 5: Solve for x
   x = 34,756,890,624/83,892
6. Step 6: Final answer
   x = 414,305.19