Finding the Third Proportional to 145,536 and 231,426

Step by Step Solution

1. Step 1: Write the proportion equation
   145,536 : 231,426 = 231,426 : x
2. Step 2: Convert to fraction form
   145,536/231,426 = 231,426/x
3. Step 3: Cross multiply
   145,536x = 231,426 × 231,426
4. Step 4: Simplify right side
   145,536x = 53,557,993,476
5. Step 5: Solve for x
   x = 53,557,993,476/145,536
6. Step 6: Final answer
   x = 368,005.12