Finding the Third Proportional to 165,827.25 and 250,128

Step by Step Solution

1. Step 1: Write the proportion equation
   165,827.25 : 250,128 = 250,128 : x
2. Step 2: Convert to fraction form
   165,827.25/250,128 = 250,128/x
3. Step 3: Cross multiply
   165,827.25x = 250,128 × 250,128
4. Step 4: Simplify right side
   165,827.25x = 62,564,016,384
5. Step 5: Solve for x
   x = 62,564,016,384/165,827.25
6. Step 6: Final answer
   x = 377,284.29