Finding the Third Proportional to 1,534,214 and 2,301,322

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534,214 : 2,301,322 = 2,301,322 : x
2. Step 2: Convert to fraction form
   1,534,214/2,301,322 = 2,301,322/x
3. Step 3: Cross multiply
   1,534,214x = 2,301,322 × 2,301,322
4. Step 4: Simplify right side
   1,534,214x = 5,296,082,947,684
5. Step 5: Solve for x
   x = 5,296,082,947,684/1,534,214
6. Step 6: Final answer
   x = 3,451,984.50