Finding the Third Proportional to 146,742 and 233,426

Step by Step Solution

1. Step 1: Write the proportion equation
   146,742 : 233,426 = 233,426 : x
2. Step 2: Convert to fraction form
   146,742/233,426 = 233,426/x
3. Step 3: Cross multiply
   146,742x = 233,426 × 233,426
4. Step 4: Simplify right side
   146,742x = 54,487,697,476
5. Step 5: Solve for x
   x = 54,487,697,476/146,742
6. Step 6: Final answer
   x = 371,316.31