Finding the Third Proportional to 146,175 and 218,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,175 : 218,674.50 = 218,674.50 : x
2. Step 2: Convert to fraction form
   146,175/218,674.50 = 218,674.50/x
3. Step 3: Cross multiply
   146,175x = 218,674.50 × 218,674.50
4. Step 4: Simplify right side
   146,175x = 47,818,536,950.25
5. Step 5: Solve for x
   x = 47,818,536,950.25/146,175
6. Step 6: Final answer
   x = 327,132.12