Finding the Third Proportional to 146,124 and 314,424

Step by Step Solution

1. Step 1: Write the proportion equation
   146,124 : 314,424 = 314,424 : x
2. Step 2: Convert to fraction form
   146,124/314,424 = 314,424/x
3. Step 3: Cross multiply
   146,124x = 314,424 × 314,424
4. Step 4: Simplify right side
   146,124x = 98,862,451,776
5. Step 5: Solve for x
   x = 98,862,451,776/146,124
6. Step 6: Final answer
   x = 676,565.46