Finding the Third Proportional to 390,024 and 582,484.50

Step by Step Solution

1. Step 1: Write the proportion equation
   390,024 : 582,484.50 = 582,484.50 : x
2. Step 2: Convert to fraction form
   390,024/582,484.50 = 582,484.50/x
3. Step 3: Cross multiply
   390,024x = 582,484.50 × 582,484.50
4. Step 4: Simplify right side
   390,024x = 339,288,192,740.25
5. Step 5: Solve for x
   x = 339,288,192,740.25/390,024
6. Step 6: Final answer
   x = 869,916.19