Finding the Third Proportional to 506,419.50 and 801,912

Step by Step Solution

1. Step 1: Write the proportion equation
   506,419.50 : 801,912 = 801,912 : x
2. Step 2: Convert to fraction form
   506,419.50/801,912 = 801,912/x
3. Step 3: Cross multiply
   506,419.50x = 801,912 × 801,912
4. Step 4: Simplify right side
   506,419.50x = 643,062,855,744
5. Step 5: Solve for x
   x = 643,062,855,744/506,419.50
6. Step 6: Final answer
   x = 1,269,822.46