Finding the Third Proportional to 54,166.75 and 78,022.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,166.75 : 78,022.25 = 78,022.25 : x
2. Step 2: Convert to fraction form
   54,166.75/78,022.25 = 78,022.25/x
3. Step 3: Cross multiply
   54,166.75x = 78,022.25 × 78,022.25
4. Step 4: Simplify right side
   54,166.75x = 6,087,471,495.06
5. Step 5: Solve for x
   x = 6,087,471,495.06/54,166.75
6. Step 6: Final answer
   x = 112,383.92