Finding the Third Proportional to 128,675.50 and 185,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,675.50 : 185,631.50 = 185,631.50 : x
2. Step 2: Convert to fraction form
   128,675.50/185,631.50 = 185,631.50/x
3. Step 3: Cross multiply
   128,675.50x = 185,631.50 × 185,631.50
4. Step 4: Simplify right side
   128,675.50x = 34,459,053,792.25
5. Step 5: Solve for x
   x = 34,459,053,792.25/128,675.50
6. Step 6: Final answer
   x = 267,798.10