Finding the Third Proportional to 137,652 and 185,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,652 : 185,255.50 = 185,255.50 : x
2. Step 2: Convert to fraction form
   137,652/185,255.50 = 185,255.50/x
3. Step 3: Cross multiply
   137,652x = 185,255.50 × 185,255.50
4. Step 4: Simplify right side
   137,652x = 34,319,600,280.25
5. Step 5: Solve for x
   x = 34,319,600,280.25/137,652
6. Step 6: Final answer
   x = 249,321.48