Finding the Third Proportional to 402,470 and 830,456

Step by Step Solution

1. Step 1: Write the proportion equation
   402,470 : 830,456 = 830,456 : x
2. Step 2: Convert to fraction form
   402,470/830,456 = 830,456/x
3. Step 3: Cross multiply
   402,470x = 830,456 × 830,456
4. Step 4: Simplify right side
   402,470x = 689,657,167,936
5. Step 5: Solve for x
   x = 689,657,167,936/402,470
6. Step 6: Final answer
   x = 1,713,561.68