Finding the Third Proportional to 151,424 and 165,570

Step by Step Solution

1. Step 1: Write the proportion equation
   151,424 : 165,570 = 165,570 : x
2. Step 2: Convert to fraction form
   151,424/165,570 = 165,570/x
3. Step 3: Cross multiply
   151,424x = 165,570 × 165,570
4. Step 4: Simplify right side
   151,424x = 27,413,424,900
5. Step 5: Solve for x
   x = 27,413,424,900/151,424
6. Step 6: Final answer
   x = 181,037.52