Finding the Third Proportional to 152,709 and 233,012

Step by Step Solution

1. Step 1: Write the proportion equation
   152,709 : 233,012 = 233,012 : x
2. Step 2: Convert to fraction form
   152,709/233,012 = 233,012/x
3. Step 3: Cross multiply
   152,709x = 233,012 × 233,012
4. Step 4: Simplify right side
   152,709x = 54,294,592,144
5. Step 5: Solve for x
   x = 54,294,592,144/152,709
6. Step 6: Final answer
   x = 355,542.84