Finding the Third Proportional to 43,178 and 57,390

Step by Step Solution

1. Step 1: Write the proportion equation
   43,178 : 57,390 = 57,390 : x
2. Step 2: Convert to fraction form
   43,178/57,390 = 57,390/x
3. Step 3: Cross multiply
   43,178x = 57,390 × 57,390
4. Step 4: Simplify right side
   43,178x = 3,293,612,100
5. Step 5: Solve for x
   x = 3,293,612,100/43,178
6. Step 6: Final answer
   x = 76,279.87