Finding the Third Proportional to 129,385 and 196,410

Step by Step Solution

1. Step 1: Write the proportion equation
   129,385 : 196,410 = 196,410 : x
2. Step 2: Convert to fraction form
   129,385/196,410 = 196,410/x
3. Step 3: Cross multiply
   129,385x = 196,410 × 196,410
4. Step 4: Simplify right side
   129,385x = 38,576,888,100
5. Step 5: Solve for x
   x = 38,576,888,100/129,385
6. Step 6: Final answer
   x = 298,155.80