Finding the Third Proportional to 503,710 and 698,142

Step by Step Solution

1. Step 1: Write the proportion equation
   503,710 : 698,142 = 698,142 : x
2. Step 2: Convert to fraction form
   503,710/698,142 = 698,142/x
3. Step 3: Cross multiply
   503,710x = 698,142 × 698,142
4. Step 4: Simplify right side
   503,710x = 487,402,252,164
5. Step 5: Solve for x
   x = 487,402,252,164/503,710
6. Step 6: Final answer
   x = 967,624.73