Finding the Third Proportional to 138,223.50 and 301,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,223.50 : 301,456.50 = 301,456.50 : x
2. Step 2: Convert to fraction form
   138,223.50/301,456.50 = 301,456.50/x
3. Step 3: Cross multiply
   138,223.50x = 301,456.50 × 301,456.50
4. Step 4: Simplify right side
   138,223.50x = 90,876,021,392.25
5. Step 5: Solve for x
   x = 90,876,021,392.25/138,223.50
6. Step 6: Final answer
   x = 657,457.10