Finding the Third Proportional to 120,061.50 and 173,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,061.50 : 173,893.50 = 173,893.50 : x
2. Step 2: Convert to fraction form
   120,061.50/173,893.50 = 173,893.50/x
3. Step 3: Cross multiply
   120,061.50x = 173,893.50 × 173,893.50
4. Step 4: Simplify right side
   120,061.50x = 30,238,949,342.25
5. Step 5: Solve for x
   x = 30,238,949,342.25/120,061.50
6. Step 6: Final answer
   x = 251,862.17