Finding the Third Proportional to 129,376 and 196,252.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,376 : 196,252.50 = 196,252.50 : x
2. Step 2: Convert to fraction form
   129,376/196,252.50 = 196,252.50/x
3. Step 3: Cross multiply
   129,376x = 196,252.50 × 196,252.50
4. Step 4: Simplify right side
   129,376x = 38,515,043,756.25
5. Step 5: Solve for x
   x = 38,515,043,756.25/129,376
6. Step 6: Final answer
   x = 297,698.52