Finding the Third Proportional to 138,944 and 215,280

Step by Step Solution

1. Step 1: Write the proportion equation
   138,944 : 215,280 = 215,280 : x
2. Step 2: Convert to fraction form
   138,944/215,280 = 215,280/x
3. Step 3: Cross multiply
   138,944x = 215,280 × 215,280
4. Step 4: Simplify right side
   138,944x = 46,345,478,400
5. Step 5: Solve for x
   x = 46,345,478,400/138,944
6. Step 6: Final answer
   x = 333,555.09