Finding the Third Proportional to 128,986 and 185,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,986 : 185,787.50 = 185,787.50 : x
2. Step 2: Convert to fraction form
   128,986/185,787.50 = 185,787.50/x
3. Step 3: Cross multiply
   128,986x = 185,787.50 × 185,787.50
4. Step 4: Simplify right side
   128,986x = 34,516,995,156.25
5. Step 5: Solve for x
   x = 34,516,995,156.25/128,986
6. Step 6: Final answer
   x = 267,602.65