Finding the Third Proportional to 385,153 and 563,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,153 : 563,464.50 = 563,464.50 : x
2. Step 2: Convert to fraction form
   385,153/563,464.50 = 563,464.50/x
3. Step 3: Cross multiply
   385,153x = 563,464.50 × 563,464.50
4. Step 4: Simplify right side
   385,153x = 317,492,242,760.25
5. Step 5: Solve for x
   x = 317,492,242,760.25/385,153
6. Step 6: Final answer
   x = 824,327.59