Finding the Third Proportional to 144,400 and 334,264

Step by Step Solution

1. Step 1: Write the proportion equation
   144,400 : 334,264 = 334,264 : x
2. Step 2: Convert to fraction form
   144,400/334,264 = 334,264/x
3. Step 3: Cross multiply
   144,400x = 334,264 × 334,264
4. Step 4: Simplify right side
   144,400x = 111,732,421,696
5. Step 5: Solve for x
   x = 111,732,421,696/144,400
6. Step 6: Final answer
   x = 773,770.23