Finding the Third Proportional to 523,336 and 830,040

Step by Step Solution

1. Step 1: Write the proportion equation
   523,336 : 830,040 = 830,040 : x
2. Step 2: Convert to fraction form
   523,336/830,040 = 830,040/x
3. Step 3: Cross multiply
   523,336x = 830,040 × 830,040
4. Step 4: Simplify right side
   523,336x = 688,966,401,600
5. Step 5: Solve for x
   x = 688,966,401,600/523,336
6. Step 6: Final answer
   x = 1,316,489.60