Finding the Third Proportional to 146,384 and 314,968

Step by Step Solution

1. Step 1: Write the proportion equation
   146,384 : 314,968 = 314,968 : x
2. Step 2: Convert to fraction form
   146,384/314,968 = 314,968/x
3. Step 3: Cross multiply
   146,384x = 314,968 × 314,968
4. Step 4: Simplify right side
   146,384x = 99,204,841,024
5. Step 5: Solve for x
   x = 99,204,841,024/146,384
6. Step 6: Final answer
   x = 677,702.76