Finding the Third Proportional to 507,384 and 1,082,322

Step by Step Solution

1. Step 1: Write the proportion equation
   507,384 : 1,082,322 = 1,082,322 : x
2. Step 2: Convert to fraction form
   507,384/1,082,322 = 1,082,322/x
3. Step 3: Cross multiply
   507,384x = 1,082,322 × 1,082,322
4. Step 4: Simplify right side
   507,384x = 1,171,420,911,684
5. Step 5: Solve for x
   x = 1,171,420,911,684/507,384
6. Step 6: Final answer
   x = 2,308,746.26