Finding the Third Proportional to 411,442.50 and 617,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   411,442.50 : 617,164.50 = 617,164.50 : x
2. Step 2: Convert to fraction form
   411,442.50/617,164.50 = 617,164.50/x
3. Step 3: Cross multiply
   411,442.50x = 617,164.50 × 617,164.50
4. Step 4: Simplify right side
   411,442.50x = 380,892,020,060.25
5. Step 5: Solve for x
   x = 380,892,020,060.25/411,442.50
6. Step 6: Final answer
   x = 925,747.88