Finding the Third Proportional to 165,033 and 287,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,033 : 287,725.50 = 287,725.50 : x
2. Step 2: Convert to fraction form
   165,033/287,725.50 = 287,725.50/x
3. Step 3: Cross multiply
   165,033x = 287,725.50 × 287,725.50
4. Step 4: Simplify right side
   165,033x = 82,785,963,350.25
5. Step 5: Solve for x
   x = 82,785,963,350.25/165,033
6. Step 6: Final answer
   x = 501,632.78