Finding the Third Proportional to 501,835 and 715,384

Step by Step Solution

1. Step 1: Write the proportion equation
   501,835 : 715,384 = 715,384 : x
2. Step 2: Convert to fraction form
   501,835/715,384 = 715,384/x
3. Step 3: Cross multiply
   501,835x = 715,384 × 715,384
4. Step 4: Simplify right side
   501,835x = 511,774,267,456
5. Step 5: Solve for x
   x = 511,774,267,456/501,835
6. Step 6: Final answer
   x = 1,019,805.85