Finding the Third Proportional to 129,100.50 and 189,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   129,100.50 : 189,411.75 = 189,411.75 : x
2. Step 2: Convert to fraction form
   129,100.50/189,411.75 = 189,411.75/x
3. Step 3: Cross multiply
   129,100.50x = 189,411.75 × 189,411.75
4. Step 4: Simplify right side
   129,100.50x = 35,876,811,038.06
5. Step 5: Solve for x
   x = 35,876,811,038.06/129,100.50
6. Step 6: Final answer
   x = 277,898.31