Finding the Third Proportional to 155,538 and 233,429

Step by Step Solution

1. Step 1: Write the proportion equation
   155,538 : 233,429 = 233,429 : x
2. Step 2: Convert to fraction form
   155,538/233,429 = 233,429/x
3. Step 3: Cross multiply
   155,538x = 233,429 × 233,429
4. Step 4: Simplify right side
   155,538x = 54,489,098,041
5. Step 5: Solve for x
   x = 54,489,098,041/155,538
6. Step 6: Final answer
   x = 350,326.60