Finding the Third Proportional to 146,220 and 314,608

Step by Step Solution

1. Step 1: Write the proportion equation
   146,220 : 314,608 = 314,608 : x
2. Step 2: Convert to fraction form
   146,220/314,608 = 314,608/x
3. Step 3: Cross multiply
   146,220x = 314,608 × 314,608
4. Step 4: Simplify right side
   146,220x = 98,978,193,664
5. Step 5: Solve for x
   x = 98,978,193,664/146,220
6. Step 6: Final answer
   x = 676,912.83