Finding the Third Proportional to 87,771 and 127,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,771 : 127,672.50 = 127,672.50 : x
2. Step 2: Convert to fraction form
   87,771/127,672.50 = 127,672.50/x
3. Step 3: Cross multiply
   87,771x = 127,672.50 × 127,672.50
4. Step 4: Simplify right side
   87,771x = 16,300,267,256.25
5. Step 5: Solve for x
   x = 16,300,267,256.25/87,771
6. Step 6: Final answer
   x = 185,713.59