Finding the Third Proportional to 35,514 and 78,439.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,514 : 78,439.50 = 78,439.50 : x
2. Step 2: Convert to fraction form
   35,514/78,439.50 = 78,439.50/x
3. Step 3: Cross multiply
   35,514x = 78,439.50 × 78,439.50
4. Step 4: Simplify right side
   35,514x = 6,152,755,160.25
5. Step 5: Solve for x
   x = 6,152,755,160.25/35,514
6. Step 6: Final answer
   x = 173,248.72