Finding the Third Proportional to 76,026 and 111,708

Step by Step Solution

1. Step 1: Write the proportion equation
   76,026 : 111,708 = 111,708 : x
2. Step 2: Convert to fraction form
   76,026/111,708 = 111,708/x
3. Step 3: Cross multiply
   76,026x = 111,708 × 111,708
4. Step 4: Simplify right side
   76,026x = 12,478,677,264
5. Step 5: Solve for x
   x = 12,478,677,264/76,026
6. Step 6: Final answer
   x = 164,136.97