Finding the Third Proportional to 77,983 and 111,142

Step by Step Solution

1. Step 1: Write the proportion equation
   77,983 : 111,142 = 111,142 : x
2. Step 2: Convert to fraction form
   77,983/111,142 = 111,142/x
3. Step 3: Cross multiply
   77,983x = 111,142 × 111,142
4. Step 4: Simplify right side
   77,983x = 12,352,544,164
5. Step 5: Solve for x
   x = 12,352,544,164/77,983
6. Step 6: Final answer
   x = 158,400.47