Finding the Third Proportional to 409,968 and 573,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,968 : 573,277.50 = 573,277.50 : x
2. Step 2: Convert to fraction form
   409,968/573,277.50 = 573,277.50/x
3. Step 3: Cross multiply
   409,968x = 573,277.50 × 573,277.50
4. Step 4: Simplify right side
   409,968x = 328,647,092,006.25
5. Step 5: Solve for x
   x = 328,647,092,006.25/409,968
6. Step 6: Final answer
   x = 801,640.84