Finding the Third Proportional to 115,134 and 177,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,134 : 177,613.50 = 177,613.50 : x
2. Step 2: Convert to fraction form
   115,134/177,613.50 = 177,613.50/x
3. Step 3: Cross multiply
   115,134x = 177,613.50 × 177,613.50
4. Step 4: Simplify right side
   115,134x = 31,546,555,382.25
5. Step 5: Solve for x
   x = 31,546,555,382.25/115,134
6. Step 6: Final answer
   x = 273,998.60