Finding the Third Proportional to 52,613 and 78,696

Step by Step Solution

1. Step 1: Write the proportion equation
   52,613 : 78,696 = 78,696 : x
2. Step 2: Convert to fraction form
   52,613/78,696 = 78,696/x
3. Step 3: Cross multiply
   52,613x = 78,696 × 78,696
4. Step 4: Simplify right side
   52,613x = 6,193,060,416
5. Step 5: Solve for x
   x = 6,193,060,416/52,613
6. Step 6: Final answer
   x = 117,709.70