Finding the Third Proportional to 138,264.50 and 219,850

Step by Step Solution

1. Step 1: Write the proportion equation
   138,264.50 : 219,850 = 219,850 : x
2. Step 2: Convert to fraction form
   138,264.50/219,850 = 219,850/x
3. Step 3: Cross multiply
   138,264.50x = 219,850 × 219,850
4. Step 4: Simplify right side
   138,264.50x = 48,334,022,500
5. Step 5: Solve for x
   x = 48,334,022,500/138,264.50
6. Step 6: Final answer
   x = 349,576.52