Finding the Third Proportional to 349,404 and 527,004

Step by Step Solution

1. Step 1: Write the proportion equation
   349,404 : 527,004 = 527,004 : x
2. Step 2: Convert to fraction form
   349,404/527,004 = 527,004/x
3. Step 3: Cross multiply
   349,404x = 527,004 × 527,004
4. Step 4: Simplify right side
   349,404x = 277,733,216,016
5. Step 5: Solve for x
   x = 277,733,216,016/349,404
6. Step 6: Final answer
   x = 794,877.04