Finding the Third Proportional to 146,128 and 314,832

Step by Step Solution

1. Step 1: Write the proportion equation
   146,128 : 314,832 = 314,832 : x
2. Step 2: Convert to fraction form
   146,128/314,832 = 314,832/x
3. Step 3: Cross multiply
   146,128x = 314,832 × 314,832
4. Step 4: Simplify right side
   146,128x = 99,119,188,224
5. Step 5: Solve for x
   x = 99,119,188,224/146,128
6. Step 6: Final answer
   x = 678,303.87