Finding the Third Proportional to 146,224 and 318,892

Step by Step Solution

1. Step 1: Write the proportion equation
   146,224 : 318,892 = 318,892 : x
2. Step 2: Convert to fraction form
   146,224/318,892 = 318,892/x
3. Step 3: Cross multiply
   146,224x = 318,892 × 318,892
4. Step 4: Simplify right side
   146,224x = 101,692,107,664
5. Step 5: Solve for x
   x = 101,692,107,664/146,224
6. Step 6: Final answer
   x = 695,454.29