Finding the Third Proportional to 137,184 and 185,280

Step by Step Solution

1. Step 1: Write the proportion equation
   137,184 : 185,280 = 185,280 : x
2. Step 2: Convert to fraction form
   137,184/185,280 = 185,280/x
3. Step 3: Cross multiply
   137,184x = 185,280 × 185,280
4. Step 4: Simplify right side
   137,184x = 34,328,678,400
5. Step 5: Solve for x
   x = 34,328,678,400/137,184
6. Step 6: Final answer
   x = 250,238.21