Finding the Third Proportional to 215,848 and 326,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   215,848 : 326,782.50 = 326,782.50 : x
2. Step 2: Convert to fraction form
   215,848/326,782.50 = 326,782.50/x
3. Step 3: Cross multiply
   215,848x = 326,782.50 × 326,782.50
4. Step 4: Simplify right side
   215,848x = 106,786,802,306.25
5. Step 5: Solve for x
   x = 106,786,802,306.25/215,848
6. Step 6: Final answer
   x = 494,731.49