Finding the Third Proportional to 129,600 and 196,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,600 : 196,213.50 = 196,213.50 : x
2. Step 2: Convert to fraction form
   129,600/196,213.50 = 196,213.50/x
3. Step 3: Cross multiply
   129,600x = 196,213.50 × 196,213.50
4. Step 4: Simplify right side
   129,600x = 38,499,737,582.25
5. Step 5: Solve for x
   x = 38,499,737,582.25/129,600
6. Step 6: Final answer
   x = 297,065.88