Finding the Third Proportional to 193,566 and 416,794.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,566 : 416,794.50 = 416,794.50 : x
2. Step 2: Convert to fraction form
   193,566/416,794.50 = 416,794.50/x
3. Step 3: Cross multiply
   193,566x = 416,794.50 × 416,794.50
4. Step 4: Simplify right side
   193,566x = 173,717,655,230.25
5. Step 5: Solve for x
   x = 173,717,655,230.25/193,566
6. Step 6: Final answer
   x = 897,459.55