Finding the Third Proportional to 87,978 and 195,588

Step by Step Solution

1. Step 1: Write the proportion equation
   87,978 : 195,588 = 195,588 : x
2. Step 2: Convert to fraction form
   87,978/195,588 = 195,588/x
3. Step 3: Cross multiply
   87,978x = 195,588 × 195,588
4. Step 4: Simplify right side
   87,978x = 38,254,665,744
5. Step 5: Solve for x
   x = 38,254,665,744/87,978
6. Step 6: Final answer
   x = 434,820.82