Finding the Third Proportional to 55,806 and 78,054

Step by Step Solution

1. Step 1: Write the proportion equation
   55,806 : 78,054 = 78,054 : x
2. Step 2: Convert to fraction form
   55,806/78,054 = 78,054/x
3. Step 3: Cross multiply
   55,806x = 78,054 × 78,054
4. Step 4: Simplify right side
   55,806x = 6,092,426,916
5. Step 5: Solve for x
   x = 6,092,426,916/55,806
6. Step 6: Final answer
   x = 109,171.54