Finding the Third Proportional to 40,185 and 87,513

Step by Step Solution

1. Step 1: Write the proportion equation
   40,185 : 87,513 = 87,513 : x
2. Step 2: Convert to fraction form
   40,185/87,513 = 87,513/x
3. Step 3: Cross multiply
   40,185x = 87,513 × 87,513
4. Step 4: Simplify right side
   40,185x = 7,658,525,169
5. Step 5: Solve for x
   x = 7,658,525,169/40,185
6. Step 6: Final answer
   x = 190,581.69