Finding the Third Proportional to 53,860 and 78,054

Step by Step Solution

1. Step 1: Write the proportion equation
   53,860 : 78,054 = 78,054 : x
2. Step 2: Convert to fraction form
   53,860/78,054 = 78,054/x
3. Step 3: Cross multiply
   53,860x = 78,054 × 78,054
4. Step 4: Simplify right side
   53,860x = 6,092,426,916
5. Step 5: Solve for x
   x = 6,092,426,916/53,860
6. Step 6: Final answer
   x = 113,115.98