Finding the Third Proportional to 323,770.50 and 506,790

Step by Step Solution

1. Step 1: Write the proportion equation
   323,770.50 : 506,790 = 506,790 : x
2. Step 2: Convert to fraction form
   323,770.50/506,790 = 506,790/x
3. Step 3: Cross multiply
   323,770.50x = 506,790 × 506,790
4. Step 4: Simplify right side
   323,770.50x = 256,836,104,100
5. Step 5: Solve for x
   x = 256,836,104,100/323,770.50
6. Step 6: Final answer
   x = 793,265.92