Finding the Third Proportional to 384,175 and 563,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,175 : 563,806.50 = 563,806.50 : x
2. Step 2: Convert to fraction form
   384,175/563,806.50 = 563,806.50/x
3. Step 3: Cross multiply
   384,175x = 563,806.50 × 563,806.50
4. Step 4: Simplify right side
   384,175x = 317,877,769,442.25
5. Step 5: Solve for x
   x = 317,877,769,442.25/384,175
6. Step 6: Final answer
   x = 827,429.61