Finding the Third Proportional to 152,336 and 334,210

Step by Step Solution

1. Step 1: Write the proportion equation
   152,336 : 334,210 = 334,210 : x
2. Step 2: Convert to fraction form
   152,336/334,210 = 334,210/x
3. Step 3: Cross multiply
   152,336x = 334,210 × 334,210
4. Step 4: Simplify right side
   152,336x = 111,696,324,100
5. Step 5: Solve for x
   x = 111,696,324,100/152,336
6. Step 6: Final answer
   x = 733,223.43