Finding the Third Proportional to 420,174 and 604,016

Step by Step Solution

1. Step 1: Write the proportion equation
   420,174 : 604,016 = 604,016 : x
2. Step 2: Convert to fraction form
   420,174/604,016 = 604,016/x
3. Step 3: Cross multiply
   420,174x = 604,016 × 604,016
4. Step 4: Simplify right side
   420,174x = 364,835,328,256
5. Step 5: Solve for x
   x = 364,835,328,256/420,174
6. Step 6: Final answer
   x = 868,295.82