Finding the Third Proportional to 57,378.38 and 83,865.38

Step by Step Solution

1. Step 1: Write the proportion equation
   57,378.38 : 83,865.38 = 83,865.38 : x
2. Step 2: Convert to fraction form
   57,378.38/83,865.38 = 83,865.38/x
3. Step 3: Cross multiply
   57,378.38x = 83,865.38 × 83,865.38
4. Step 4: Simplify right side
   57,378.38x = 7,033,401,123.89
5. Step 5: Solve for x
   x = 7,033,401,123.89/57,378.38
6. Step 6: Final answer
   x = 122,579.30