Finding the Third Proportional to 52,448 and 78,680

Step by Step Solution

1. Step 1: Write the proportion equation
   52,448 : 78,680 = 78,680 : x
2. Step 2: Convert to fraction form
   52,448/78,680 = 78,680/x
3. Step 3: Cross multiply
   52,448x = 78,680 × 78,680
4. Step 4: Simplify right side
   52,448x = 6,190,542,400
5. Step 5: Solve for x
   x = 6,190,542,400/52,448
6. Step 6: Final answer
   x = 118,032.00