Finding the Third Proportional to 129,204 and 189,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,204 : 189,424.50 = 189,424.50 : x
2. Step 2: Convert to fraction form
   129,204/189,424.50 = 189,424.50/x
3. Step 3: Cross multiply
   129,204x = 189,424.50 × 189,424.50
4. Step 4: Simplify right side
   129,204x = 35,881,641,200.25
5. Step 5: Solve for x
   x = 35,881,641,200.25/129,204
6. Step 6: Final answer
   x = 277,713.08