Finding the Third Proportional to 40,196 and 87,533

Step by Step Solution

1. Step 1: Write the proportion equation
   40,196 : 87,533 = 87,533 : x
2. Step 2: Convert to fraction form
   40,196/87,533 = 87,533/x
3. Step 3: Cross multiply
   40,196x = 87,533 × 87,533
4. Step 4: Simplify right side
   40,196x = 7,662,026,089
5. Step 5: Solve for x
   x = 7,662,026,089/40,196
6. Step 6: Final answer
   x = 190,616.63