Finding the Third Proportional to 146,192 and 314,552

Step by Step Solution

1. Step 1: Write the proportion equation
   146,192 : 314,552 = 314,552 : x
2. Step 2: Convert to fraction form
   146,192/314,552 = 314,552/x
3. Step 3: Cross multiply
   146,192x = 314,552 × 314,552
4. Step 4: Simplify right side
   146,192x = 98,942,960,704
5. Step 5: Solve for x
   x = 98,942,960,704/146,192
6. Step 6: Final answer
   x = 676,801.47