Finding the Third Proportional to 52,960 and 78,720

Step by Step Solution

1. Step 1: Write the proportion equation
   52,960 : 78,720 = 78,720 : x
2. Step 2: Convert to fraction form
   52,960/78,720 = 78,720/x
3. Step 3: Cross multiply
   52,960x = 78,720 × 78,720
4. Step 4: Simplify right side
   52,960x = 6,196,838,400
5. Step 5: Solve for x
   x = 6,196,838,400/52,960
6. Step 6: Final answer
   x = 117,009.79