Finding the Third Proportional to 146,354 and 314,896

Step by Step Solution

1. Step 1: Write the proportion equation
   146,354 : 314,896 = 314,896 : x
2. Step 2: Convert to fraction form
   146,354/314,896 = 314,896/x
3. Step 3: Cross multiply
   146,354x = 314,896 × 314,896
4. Step 4: Simplify right side
   146,354x = 99,159,490,816
5. Step 5: Solve for x
   x = 99,159,490,816/146,354
6. Step 6: Final answer
   x = 677,531.81