Finding the Third Proportional to 193,204.50 and 420,774

Step by Step Solution

1. Step 1: Write the proportion equation
   193,204.50 : 420,774 = 420,774 : x
2. Step 2: Convert to fraction form
   193,204.50/420,774 = 420,774/x
3. Step 3: Cross multiply
   193,204.50x = 420,774 × 420,774
4. Step 4: Simplify right side
   193,204.50x = 177,050,759,076
5. Step 5: Solve for x
   x = 177,050,759,076/193,204.50
6. Step 6: Final answer
   x = 916,390.45