Finding the Third Proportional to 76,150 and 111,627

Step by Step Solution

1. Step 1: Write the proportion equation
   76,150 : 111,627 = 111,627 : x
2. Step 2: Convert to fraction form
   76,150/111,627 = 111,627/x
3. Step 3: Cross multiply
   76,150x = 111,627 × 111,627
4. Step 4: Simplify right side
   76,150x = 12,460,587,129
5. Step 5: Solve for x
   x = 12,460,587,129/76,150
6. Step 6: Final answer
   x = 163,632.14