Finding the Third Proportional to 146,147 and 318,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   146,147 : 318,742.75 = 318,742.75 : x
2. Step 2: Convert to fraction form
   146,147/318,742.75 = 318,742.75/x
3. Step 3: Cross multiply
   146,147x = 318,742.75 × 318,742.75
4. Step 4: Simplify right side
   146,147x = 101,596,940,677.56
5. Step 5: Solve for x
   x = 101,596,940,677.56/146,147
6. Step 6: Final answer
   x = 695,169.53