Finding the Third Proportional to 323,004 and 495,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,004 : 495,802.50 = 495,802.50 : x
2. Step 2: Convert to fraction form
   323,004/495,802.50 = 495,802.50/x
3. Step 3: Cross multiply
   323,004x = 495,802.50 × 495,802.50
4. Step 4: Simplify right side
   323,004x = 245,820,119,006.25
5. Step 5: Solve for x
   x = 245,820,119,006.25/323,004
6. Step 6: Final answer
   x = 761,043.58