Finding the Third Proportional to 52,478 and 78,843

Step by Step Solution

1. Step 1: Write the proportion equation
   52,478 : 78,843 = 78,843 : x
2. Step 2: Convert to fraction form
   52,478/78,843 = 78,843/x
3. Step 3: Cross multiply
   52,478x = 78,843 × 78,843
4. Step 4: Simplify right side
   52,478x = 6,216,218,649
5. Step 5: Solve for x
   x = 6,216,218,649/52,478
6. Step 6: Final answer
   x = 118,453.80