Finding the Third Proportional to 146,307 and 314,436

Step by Step Solution

1. Step 1: Write the proportion equation
   146,307 : 314,436 = 314,436 : x
2. Step 2: Convert to fraction form
   146,307/314,436 = 314,436/x
3. Step 3: Cross multiply
   146,307x = 314,436 × 314,436
4. Step 4: Simplify right side
   146,307x = 98,869,998,096
5. Step 5: Solve for x
   x = 98,869,998,096/146,307
6. Step 6: Final answer
   x = 675,770.80