Finding the Third Proportional to 146,034 and 213,306.75

Step by Step Solution

1. Step 1: Write the proportion equation
   146,034 : 213,306.75 = 213,306.75 : x
2. Step 2: Convert to fraction form
   146,034/213,306.75 = 213,306.75/x
3. Step 3: Cross multiply
   146,034x = 213,306.75 × 213,306.75
4. Step 4: Simplify right side
   146,034x = 45,499,769,595.56
5. Step 5: Solve for x
   x = 45,499,769,595.56/146,034
6. Step 6: Final answer
   x = 311,569.70