Finding the Third Proportional to 138,022 and 185,470

Step by Step Solution

1. Step 1: Write the proportion equation
   138,022 : 185,470 = 185,470 : x
2. Step 2: Convert to fraction form
   138,022/185,470 = 185,470/x
3. Step 3: Cross multiply
   138,022x = 185,470 × 185,470
4. Step 4: Simplify right side
   138,022x = 34,399,120,900
5. Step 5: Solve for x
   x = 34,399,120,900/138,022
6. Step 6: Final answer
   x = 249,229.26