Finding the Third Proportional to 542,592 and 830,016

Step by Step Solution

1. Step 1: Write the proportion equation
   542,592 : 830,016 = 830,016 : x
2. Step 2: Convert to fraction form
   542,592/830,016 = 830,016/x
3. Step 3: Cross multiply
   542,592x = 830,016 × 830,016
4. Step 4: Simplify right side
   542,592x = 688,926,560,256
5. Step 5: Solve for x
   x = 688,926,560,256/542,592
6. Step 6: Final answer
   x = 1,269,695.39