Finding the Third Proportional to 84,978 and 175,412

Step by Step Solution

1. Step 1: Write the proportion equation
   84,978 : 175,412 = 175,412 : x
2. Step 2: Convert to fraction form
   84,978/175,412 = 175,412/x
3. Step 3: Cross multiply
   84,978x = 175,412 × 175,412
4. Step 4: Simplify right side
   84,978x = 30,769,369,744
5. Step 5: Solve for x
   x = 30,769,369,744/84,978
6. Step 6: Final answer
   x = 362,086.30