Finding the Third Proportional to 150,866 and 314,128

Step by Step Solution

1. Step 1: Write the proportion equation
   150,866 : 314,128 = 314,128 : x
2. Step 2: Convert to fraction form
   150,866/314,128 = 314,128/x
3. Step 3: Cross multiply
   150,866x = 314,128 × 314,128
4. Step 4: Simplify right side
   150,866x = 98,676,400,384
5. Step 5: Solve for x
   x = 98,676,400,384/150,866
6. Step 6: Final answer
   x = 654,066.53