Finding the Third Proportional to 505,926 and 1,077,397

Step by Step Solution

1. Step 1: Write the proportion equation
   505,926 : 1,077,397 = 1,077,397 : x
2. Step 2: Convert to fraction form
   505,926/1,077,397 = 1,077,397/x
3. Step 3: Cross multiply
   505,926x = 1,077,397 × 1,077,397
4. Step 4: Simplify right side
   505,926x = 1,160,784,295,609
5. Step 5: Solve for x
   x = 1,160,784,295,609/505,926
6. Step 6: Final answer
   x = 2,294,375.65