Finding the Third Proportional to 35,480.25 and 78,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,480.25 : 78,340.50 = 78,340.50 : x
2. Step 2: Convert to fraction form
   35,480.25/78,340.50 = 78,340.50/x
3. Step 3: Cross multiply
   35,480.25x = 78,340.50 × 78,340.50
4. Step 4: Simplify right side
   35,480.25x = 6,137,233,940.25
5. Step 5: Solve for x
   x = 6,137,233,940.25/35,480.25
6. Step 6: Final answer
   x = 172,976.06