Finding the Third Proportional to 57,978 and 91,635

Step by Step Solution

1. Step 1: Write the proportion equation
   57,978 : 91,635 = 91,635 : x
2. Step 2: Convert to fraction form
   57,978/91,635 = 91,635/x
3. Step 3: Cross multiply
   57,978x = 91,635 × 91,635
4. Step 4: Simplify right side
   57,978x = 8,396,973,225
5. Step 5: Solve for x
   x = 8,396,973,225/57,978
6. Step 6: Final answer
   x = 144,830.34