Finding the Third Proportional to 152,394 and 334,320

Step by Step Solution

1. Step 1: Write the proportion equation
   152,394 : 334,320 = 334,320 : x
2. Step 2: Convert to fraction form
   152,394/334,320 = 334,320/x
3. Step 3: Cross multiply
   152,394x = 334,320 × 334,320
4. Step 4: Simplify right side
   152,394x = 111,769,862,400
5. Step 5: Solve for x
   x = 111,769,862,400/152,394
6. Step 6: Final answer
   x = 733,426.92