Finding the Third Proportional to 146,259 and 218,431.69

Step by Step Solution

1. Step 1: Write the proportion equation
   146,259 : 218,431.69 = 218,431.69 : x
2. Step 2: Convert to fraction form
   146,259/218,431.69 = 218,431.69/x
3. Step 3: Cross multiply
   146,259x = 218,431.69 × 218,431.69
4. Step 4: Simplify right side
   146,259x = 47,712,402,104.10
5. Step 5: Solve for x
   x = 47,712,402,104.10/146,259
6. Step 6: Final answer
   x = 326,218.57