Finding the Third Proportional to 53,864 and 78,060

Step by Step Solution

1. Step 1: Write the proportion equation
   53,864 : 78,060 = 78,060 : x
2. Step 2: Convert to fraction form
   53,864/78,060 = 78,060/x
3. Step 3: Cross multiply
   53,864x = 78,060 × 78,060
4. Step 4: Simplify right side
   53,864x = 6,093,363,600
5. Step 5: Solve for x
   x = 6,093,363,600/53,864
6. Step 6: Final answer
   x = 113,124.97