Finding the Third Proportional to 137,986.03 and 185,431.78

Step by Step Solution

1. Step 1: Write the proportion equation
   137,986.03 : 185,431.78 = 185,431.78 : x
2. Step 2: Convert to fraction form
   137,986.03/185,431.78 = 185,431.78/x
3. Step 3: Cross multiply
   137,986.03x = 185,431.78 × 185,431.78
4. Step 4: Simplify right side
   137,986.03x = 34,384,945,497.55
5. Step 5: Solve for x
   x = 34,384,945,497.55/137,986.03
6. Step 6: Final answer
   x = 249,191.50