Finding the Third Proportional to 507,856 and 746,064

Step by Step Solution

1. Step 1: Write the proportion equation
   507,856 : 746,064 = 746,064 : x
2. Step 2: Convert to fraction form
   507,856/746,064 = 746,064/x
3. Step 3: Cross multiply
   507,856x = 746,064 × 746,064
4. Step 4: Simplify right side
   507,856x = 556,611,492,096
5. Step 5: Solve for x
   x = 556,611,492,096/507,856
6. Step 6: Final answer
   x = 1,096,002.59