Finding the Third Proportional to 52,960 and 78,716

Step by Step Solution

1. Step 1: Write the proportion equation
   52,960 : 78,716 = 78,716 : x
2. Step 2: Convert to fraction form
   52,960/78,716 = 78,716/x
3. Step 3: Cross multiply
   52,960x = 78,716 × 78,716
4. Step 4: Simplify right side
   52,960x = 6,196,208,656
5. Step 5: Solve for x
   x = 6,196,208,656/52,960
6. Step 6: Final answer
   x = 116,997.90