Finding the Third Proportional to 55,842.75 and 78,114.38

Step by Step Solution

1. Step 1: Write the proportion equation
   55,842.75 : 78,114.38 = 78,114.38 : x
2. Step 2: Convert to fraction form
   55,842.75/78,114.38 = 78,114.38/x
3. Step 3: Cross multiply
   55,842.75x = 78,114.38 × 78,114.38
4. Step 4: Simplify right side
   55,842.75x = 6,101,855,581.64
5. Step 5: Solve for x
   x = 6,101,855,581.64/55,842.75
6. Step 6: Final answer
   x = 109,268.54