Finding the Third Proportional to 145,538 and 231,429

Step by Step Solution

1. Step 1: Write the proportion equation
   145,538 : 231,429 = 231,429 : x
2. Step 2: Convert to fraction form
   145,538/231,429 = 231,429/x
3. Step 3: Cross multiply
   145,538x = 231,429 × 231,429
4. Step 4: Simplify right side
   145,538x = 53,559,382,041
5. Step 5: Solve for x
   x = 53,559,382,041/145,538
6. Step 6: Final answer
   x = 368,009.61