Finding the Third Proportional to 275,834 and 421,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,834 : 421,773.50 = 421,773.50 : x
2. Step 2: Convert to fraction form
   275,834/421,773.50 = 421,773.50/x
3. Step 3: Cross multiply
   275,834x = 421,773.50 × 421,773.50
4. Step 4: Simplify right side
   275,834x = 177,892,885,302.25
5. Step 5: Solve for x
   x = 177,892,885,302.25/275,834
6. Step 6: Final answer
   x = 644,927.33