Finding the Third Proportional to 294,532.50 and 635,586

Step by Step Solution

1. Step 1: Write the proportion equation
   294,532.50 : 635,586 = 635,586 : x
2. Step 2: Convert to fraction form
   294,532.50/635,586 = 635,586/x
3. Step 3: Cross multiply
   294,532.50x = 635,586 × 635,586
4. Step 4: Simplify right side
   294,532.50x = 403,969,563,396
5. Step 5: Solve for x
   x = 403,969,563,396/294,532.50
6. Step 6: Final answer
   x = 1,371,561.93