Finding the Third Proportional to 40,181 and 87,506

Step by Step Solution

1. Step 1: Write the proportion equation
   40,181 : 87,506 = 87,506 : x
2. Step 2: Convert to fraction form
   40,181/87,506 = 87,506/x
3. Step 3: Cross multiply
   40,181x = 87,506 × 87,506
4. Step 4: Simplify right side
   40,181x = 7,657,300,036
5. Step 5: Solve for x
   x = 7,657,300,036/40,181
6. Step 6: Final answer
   x = 190,570.17