Finding the Third Proportional to 67,111 and 146,213

Step by Step Solution

1. Step 1: Write the proportion equation
   67,111 : 146,213 = 146,213 : x
2. Step 2: Convert to fraction form
   67,111/146,213 = 146,213/x
3. Step 3: Cross multiply
   67,111x = 146,213 × 146,213
4. Step 4: Simplify right side
   67,111x = 21,378,241,369
5. Step 5: Solve for x
   x = 21,378,241,369/67,111
6. Step 6: Final answer
   x = 318,550.48