Finding the Third Proportional to 420,164 and 604,002

Step by Step Solution

1. Step 1: Write the proportion equation
   420,164 : 604,002 = 604,002 : x
2. Step 2: Convert to fraction form
   420,164/604,002 = 604,002/x
3. Step 3: Cross multiply
   420,164x = 604,002 × 604,002
4. Step 4: Simplify right side
   420,164x = 364,818,416,004
5. Step 5: Solve for x
   x = 364,818,416,004/420,164
6. Step 6: Final answer
   x = 868,276.24