Finding the Third Proportional to 146,192 and 314,560

Step by Step Solution

1. Step 1: Write the proportion equation
   146,192 : 314,560 = 314,560 : x
2. Step 2: Convert to fraction form
   146,192/314,560 = 314,560/x
3. Step 3: Cross multiply
   146,192x = 314,560 × 314,560
4. Step 4: Simplify right side
   146,192x = 98,947,993,600
5. Step 5: Solve for x
   x = 98,947,993,600/146,192
6. Step 6: Final answer
   x = 676,835.90