Finding the Third Proportional to 129,168 and 189,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,168 : 189,508.50 = 189,508.50 : x
2. Step 2: Convert to fraction form
   129,168/189,508.50 = 189,508.50/x
3. Step 3: Cross multiply
   129,168x = 189,508.50 × 189,508.50
4. Step 4: Simplify right side
   129,168x = 35,913,471,572.25
5. Step 5: Solve for x
   x = 35,913,471,572.25/129,168
6. Step 6: Final answer
   x = 278,036.91