Finding the Third Proportional to 290,199 and 410,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   290,199 : 410,998.50 = 410,998.50 : x
2. Step 2: Convert to fraction form
   290,199/410,998.50 = 410,998.50/x
3. Step 3: Cross multiply
   290,199x = 410,998.50 × 410,998.50
4. Step 4: Simplify right side
   290,199x = 168,919,767,002.25
5. Step 5: Solve for x
   x = 168,919,767,002.25/290,199
6. Step 6: Final answer
   x = 582,082.53