Finding the Third Proportional to 89,892 and 196,700

Step by Step Solution

1. Step 1: Write the proportion equation
   89,892 : 196,700 = 196,700 : x
2. Step 2: Convert to fraction form
   89,892/196,700 = 196,700/x
3. Step 3: Cross multiply
   89,892x = 196,700 × 196,700
4. Step 4: Simplify right side
   89,892x = 38,690,890,000
5. Step 5: Solve for x
   x = 38,690,890,000/89,892
6. Step 6: Final answer
   x = 430,415.28