Finding the Third Proportional to 52,834 and 79,256

Step by Step Solution

1. Step 1: Write the proportion equation
   52,834 : 79,256 = 79,256 : x
2. Step 2: Convert to fraction form
   52,834/79,256 = 79,256/x
3. Step 3: Cross multiply
   52,834x = 79,256 × 79,256
4. Step 4: Simplify right side
   52,834x = 6,281,513,536
5. Step 5: Solve for x
   x = 6,281,513,536/52,834
6. Step 6: Final answer
   x = 118,891.50