Finding the Third Proportional to 507,064 and 759,016

Step by Step Solution

1. Step 1: Write the proportion equation
   507,064 : 759,016 = 759,016 : x
2. Step 2: Convert to fraction form
   507,064/759,016 = 759,016/x
3. Step 3: Cross multiply
   507,064x = 759,016 × 759,016
4. Step 4: Simplify right side
   507,064x = 576,105,288,256
5. Step 5: Solve for x
   x = 576,105,288,256/507,064
6. Step 6: Final answer
   x = 1,136,158.92