Finding the Third Proportional to 383,322.50 and 561,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,322.50 : 561,041.50 = 561,041.50 : x
2. Step 2: Convert to fraction form
   383,322.50/561,041.50 = 561,041.50/x
3. Step 3: Cross multiply
   383,322.50x = 561,041.50 × 561,041.50
4. Step 4: Simplify right side
   383,322.50x = 314,767,564,722.25
5. Step 5: Solve for x
   x = 314,767,564,722.25/383,322.50
6. Step 6: Final answer
   x = 821,155.98