Finding the Third Proportional to 138,233.25 and 208,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,233.25 : 208,615.50 = 208,615.50 : x
2. Step 2: Convert to fraction form
   138,233.25/208,615.50 = 208,615.50/x
3. Step 3: Cross multiply
   138,233.25x = 208,615.50 × 208,615.50
4. Step 4: Simplify right side
   138,233.25x = 43,520,426,840.25
5. Step 5: Solve for x
   x = 43,520,426,840.25/138,233.25
6. Step 6: Final answer
   x = 314,833.28