Finding the Third Proportional to 152,626 and 233,476

Step by Step Solution

1. Step 1: Write the proportion equation
   152,626 : 233,476 = 233,476 : x
2. Step 2: Convert to fraction form
   152,626/233,476 = 233,476/x
3. Step 3: Cross multiply
   152,626x = 233,476 × 233,476
4. Step 4: Simplify right side
   152,626x = 54,511,042,576
5. Step 5: Solve for x
   x = 54,511,042,576/152,626
6. Step 6: Final answer
   x = 357,154.37