Finding the Third Proportional to 76,151 and 111,628

Step by Step Solution

1. Step 1: Write the proportion equation
   76,151 : 111,628 = 111,628 : x
2. Step 2: Convert to fraction form
   76,151/111,628 = 111,628/x
3. Step 3: Cross multiply
   76,151x = 111,628 × 111,628
4. Step 4: Simplify right side
   76,151x = 12,460,810,384
5. Step 5: Solve for x
   x = 12,460,810,384/76,151
6. Step 6: Final answer
   x = 163,632.92