Finding the Third Proportional to 59,178.38 and 83,238.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,178.38 : 83,238.75 = 83,238.75 : x
2. Step 2: Convert to fraction form
   59,178.38/83,238.75 = 83,238.75/x
3. Step 3: Cross multiply
   59,178.38x = 83,238.75 × 83,238.75
4. Step 4: Simplify right side
   59,178.38x = 6,928,689,501.56
5. Step 5: Solve for x
   x = 6,928,689,501.56/59,178.38
6. Step 6: Final answer
   x = 117,081.44