Finding the Third Proportional to 193,560 and 416,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,560 : 416,782.50 = 416,782.50 : x
2. Step 2: Convert to fraction form
   193,560/416,782.50 = 416,782.50/x
3. Step 3: Cross multiply
   193,560x = 416,782.50 × 416,782.50
4. Step 4: Simplify right side
   193,560x = 173,707,652,306.25
5. Step 5: Solve for x
   x = 173,707,652,306.25/193,560
6. Step 6: Final answer
   x = 897,435.69