Finding the Third Proportional to 117,612 and 177,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,612 : 177,511.50 = 177,511.50 : x
2. Step 2: Convert to fraction form
   117,612/177,511.50 = 177,511.50/x
3. Step 3: Cross multiply
   117,612x = 177,511.50 × 177,511.50
4. Step 4: Simplify right side
   117,612x = 31,510,332,632.25
5. Step 5: Solve for x
   x = 31,510,332,632.25/117,612
6. Step 6: Final answer
   x = 267,917.67