Finding the Third Proportional to 35,902 and 78,616

Step by Step Solution

1. Step 1: Write the proportion equation
   35,902 : 78,616 = 78,616 : x
2. Step 2: Convert to fraction form
   35,902/78,616 = 78,616/x
3. Step 3: Cross multiply
   35,902x = 78,616 × 78,616
4. Step 4: Simplify right side
   35,902x = 6,180,475,456
5. Step 5: Solve for x
   x = 6,180,475,456/35,902
6. Step 6: Final answer
   x = 172,148.50