Finding the Third Proportional to 78,978 and 171,060

Step by Step Solution

1. Step 1: Write the proportion equation
   78,978 : 171,060 = 171,060 : x
2. Step 2: Convert to fraction form
   78,978/171,060 = 171,060/x
3. Step 3: Cross multiply
   78,978x = 171,060 × 171,060
4. Step 4: Simplify right side
   78,978x = 29,261,523,600
5. Step 5: Solve for x
   x = 29,261,523,600/78,978
6. Step 6: Final answer
   x = 370,502.21