Finding the Third Proportional to 53,847 and 77,078

Step by Step Solution

1. Step 1: Write the proportion equation
   53,847 : 77,078 = 77,078 : x
2. Step 2: Convert to fraction form
   53,847/77,078 = 77,078/x
3. Step 3: Cross multiply
   53,847x = 77,078 × 77,078
4. Step 4: Simplify right side
   53,847x = 5,941,018,084
5. Step 5: Solve for x
   x = 5,941,018,084/53,847
6. Step 6: Final answer
   x = 110,331.46