Finding the Third Proportional to 78,613 and 111,126

Step by Step Solution

1. Step 1: Write the proportion equation
   78,613 : 111,126 = 111,126 : x
2. Step 2: Convert to fraction form
   78,613/111,126 = 111,126/x
3. Step 3: Cross multiply
   78,613x = 111,126 × 111,126
4. Step 4: Simplify right side
   78,613x = 12,348,987,876
5. Step 5: Solve for x
   x = 12,348,987,876/78,613
6. Step 6: Final answer
   x = 157,085.82