Finding the Third Proportional to 146,375 and 314,942

Step by Step Solution

1. Step 1: Write the proportion equation
   146,375 : 314,942 = 314,942 : x
2. Step 2: Convert to fraction form
   146,375/314,942 = 314,942/x
3. Step 3: Cross multiply
   146,375x = 314,942 × 314,942
4. Step 4: Simplify right side
   146,375x = 99,188,463,364
5. Step 5: Solve for x
   x = 99,188,463,364/146,375
6. Step 6: Final answer
   x = 677,632.54