Finding the Third Proportional to 137,965 and 185,405

Step by Step Solution

1. Step 1: Write the proportion equation
   137,965 : 185,405 = 185,405 : x
2. Step 2: Convert to fraction form
   137,965/185,405 = 185,405/x
3. Step 3: Cross multiply
   137,965x = 185,405 × 185,405
4. Step 4: Simplify right side
   137,965x = 34,375,014,025
5. Step 5: Solve for x
   x = 34,375,014,025/137,965
6. Step 6: Final answer
   x = 249,157.50