Finding the Third Proportional to 128,680.50 and 185,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,680.50 : 185,638.50 = 185,638.50 : x
2. Step 2: Convert to fraction form
   128,680.50/185,638.50 = 185,638.50/x
3. Step 3: Cross multiply
   128,680.50x = 185,638.50 × 185,638.50
4. Step 4: Simplify right side
   128,680.50x = 34,461,652,682.25
5. Step 5: Solve for x
   x = 34,461,652,682.25/128,680.50
6. Step 6: Final answer
   x = 267,807.89