Finding the Third Proportional to 154,314 and 338,172

Step by Step Solution

1. Step 1: Write the proportion equation
   154,314 : 338,172 = 338,172 : x
2. Step 2: Convert to fraction form
   154,314/338,172 = 338,172/x
3. Step 3: Cross multiply
   154,314x = 338,172 × 338,172
4. Step 4: Simplify right side
   154,314x = 114,360,301,584
5. Step 5: Solve for x
   x = 114,360,301,584/154,314
6. Step 6: Final answer
   x = 741,088.31