Finding the Third Proportional to 507,196 and 784,920

Step by Step Solution

1. Step 1: Write the proportion equation
   507,196 : 784,920 = 784,920 : x
2. Step 2: Convert to fraction form
   507,196/784,920 = 784,920/x
3. Step 3: Cross multiply
   507,196x = 784,920 × 784,920
4. Step 4: Simplify right side
   507,196x = 616,099,406,400
5. Step 5: Solve for x
   x = 616,099,406,400/507,196
6. Step 6: Final answer
   x = 1,214,716.61