Finding the Third Proportional to 385,123.50 and 563,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,123.50 : 563,422.50 = 563,422.50 : x
2. Step 2: Convert to fraction form
   385,123.50/563,422.50 = 563,422.50/x
3. Step 3: Cross multiply
   385,123.50x = 563,422.50 × 563,422.50
4. Step 4: Simplify right side
   385,123.50x = 317,444,913,506.25
5. Step 5: Solve for x
   x = 317,444,913,506.25/385,123.50
6. Step 6: Final answer
   x = 824,267.83