Finding the Third Proportional to 68,546 and 146,140

Step by Step Solution

1. Step 1: Write the proportion equation
   68,546 : 146,140 = 146,140 : x
2. Step 2: Convert to fraction form
   68,546/146,140 = 146,140/x
3. Step 3: Cross multiply
   68,546x = 146,140 × 146,140
4. Step 4: Simplify right side
   68,546x = 21,356,899,600
5. Step 5: Solve for x
   x = 21,356,899,600/68,546
6. Step 6: Final answer
   x = 311,570.33