Finding the Third Proportional to 382,870.50 and 563,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,870.50 : 563,248.50 = 563,248.50 : x
2. Step 2: Convert to fraction form
   382,870.50/563,248.50 = 563,248.50/x
3. Step 3: Cross multiply
   382,870.50x = 563,248.50 × 563,248.50
4. Step 4: Simplify right side
   382,870.50x = 317,248,872,752.25
5. Step 5: Solve for x
   x = 317,248,872,752.25/382,870.50
6. Step 6: Final answer
   x = 828,606.21