Finding the Third Proportional to 324,769.50 and 510,138

Step by Step Solution

1. Step 1: Write the proportion equation
   324,769.50 : 510,138 = 510,138 : x
2. Step 2: Convert to fraction form
   324,769.50/510,138 = 510,138/x
3. Step 3: Cross multiply
   324,769.50x = 510,138 × 510,138
4. Step 4: Simplify right side
   324,769.50x = 260,240,779,044
5. Step 5: Solve for x
   x = 260,240,779,044/324,769.50
6. Step 6: Final answer
   x = 801,309.17