Finding the Third Proportional to 55,758 and 85,116

Step by Step Solution

1. Step 1: Write the proportion equation
   55,758 : 85,116 = 85,116 : x
2. Step 2: Convert to fraction form
   55,758/85,116 = 85,116/x
3. Step 3: Cross multiply
   55,758x = 85,116 × 85,116
4. Step 4: Simplify right side
   55,758x = 7,244,733,456
5. Step 5: Solve for x
   x = 7,244,733,456/55,758
6. Step 6: Final answer
   x = 129,931.73