Finding the Third Proportional to 146,155 and 314,869

Step by Step Solution

1. Step 1: Write the proportion equation
   146,155 : 314,869 = 314,869 : x
2. Step 2: Convert to fraction form
   146,155/314,869 = 314,869/x
3. Step 3: Cross multiply
   146,155x = 314,869 × 314,869
4. Step 4: Simplify right side
   146,155x = 99,142,487,161
5. Step 5: Solve for x
   x = 99,142,487,161/146,155
6. Step 6: Final answer
   x = 678,337.98