Finding the Third Proportional to 76,834 and 112,311

Step by Step Solution

1. Step 1: Write the proportion equation
   76,834 : 112,311 = 112,311 : x
2. Step 2: Convert to fraction form
   76,834/112,311 = 112,311/x
3. Step 3: Cross multiply
   76,834x = 112,311 × 112,311
4. Step 4: Simplify right side
   76,834x = 12,613,760,721
5. Step 5: Solve for x
   x = 12,613,760,721/76,834
6. Step 6: Final answer
   x = 164,169.00