Finding the Third Proportional to 137,948 and 185,380

Step by Step Solution

1. Step 1: Write the proportion equation
   137,948 : 185,380 = 185,380 : x
2. Step 2: Convert to fraction form
   137,948/185,380 = 185,380/x
3. Step 3: Cross multiply
   137,948x = 185,380 × 185,380
4. Step 4: Simplify right side
   137,948x = 34,365,744,400
5. Step 5: Solve for x
   x = 34,365,744,400/137,948
6. Step 6: Final answer
   x = 249,121.01