Finding the Third Proportional to 55,820 and 78,078

Step by Step Solution

1. Step 1: Write the proportion equation
   55,820 : 78,078 = 78,078 : x
2. Step 2: Convert to fraction form
   55,820/78,078 = 78,078/x
3. Step 3: Cross multiply
   55,820x = 78,078 × 78,078
4. Step 4: Simplify right side
   55,820x = 6,096,174,084
5. Step 5: Solve for x
   x = 6,096,174,084/55,820
6. Step 6: Final answer
   x = 109,211.29