Finding the Third Proportional to 129,254.91 and 194,019.05

Step by Step Solution

1. Step 1: Write the proportion equation
   129,254.91 : 194,019.05 = 194,019.05 : x
2. Step 2: Convert to fraction form
   129,254.91/194,019.05 = 194,019.05/x
3. Step 3: Cross multiply
   129,254.91x = 194,019.05 × 194,019.05
4. Step 4: Simplify right side
   129,254.91x = 37,643,390,550.28
5. Step 5: Solve for x
   x = 37,643,390,550.28/129,254.91
6. Step 6: Final answer
   x = 291,233.75