Finding the Third Proportional to 146,356 and 314,900

Step by Step Solution

1. Step 1: Write the proportion equation
   146,356 : 314,900 = 314,900 : x
2. Step 2: Convert to fraction form
   146,356/314,900 = 314,900/x
3. Step 3: Cross multiply
   146,356x = 314,900 × 314,900
4. Step 4: Simplify right side
   146,356x = 99,162,010,000
5. Step 5: Solve for x
   x = 99,162,010,000/146,356
6. Step 6: Final answer
   x = 677,539.77