Finding the Third Proportional to 402,520 and 592,116

Step by Step Solution

1. Step 1: Write the proportion equation
   402,520 : 592,116 = 592,116 : x
2. Step 2: Convert to fraction form
   402,520/592,116 = 592,116/x
3. Step 3: Cross multiply
   402,520x = 592,116 × 592,116
4. Step 4: Simplify right side
   402,520x = 350,601,357,456
5. Step 5: Solve for x
   x = 350,601,357,456/402,520
6. Step 6: Final answer
   x = 871,015.99