Finding the Third Proportional to 77,976 and 111,132

Step by Step Solution

1. Step 1: Write the proportion equation
   77,976 : 111,132 = 111,132 : x
2. Step 2: Convert to fraction form
   77,976/111,132 = 111,132/x
3. Step 3: Cross multiply
   77,976x = 111,132 × 111,132
4. Step 4: Simplify right side
   77,976x = 12,350,321,424
5. Step 5: Solve for x
   x = 12,350,321,424/77,976
6. Step 6: Final answer
   x = 158,386.19