Finding the Third Proportional to 146,216 and 314,600

Step by Step Solution

1. Step 1: Write the proportion equation
   146,216 : 314,600 = 314,600 : x
2. Step 2: Convert to fraction form
   146,216/314,600 = 314,600/x
3. Step 3: Cross multiply
   146,216x = 314,600 × 314,600
4. Step 4: Simplify right side
   146,216x = 98,973,160,000
5. Step 5: Solve for x
   x = 98,973,160,000/146,216
6. Step 6: Final answer
   x = 676,896.92