Finding the Third Proportional to 40,174 and 87,498

Step by Step Solution

1. Step 1: Write the proportion equation
   40,174 : 87,498 = 87,498 : x
2. Step 2: Convert to fraction form
   40,174/87,498 = 87,498/x
3. Step 3: Cross multiply
   40,174x = 87,498 × 87,498
4. Step 4: Simplify right side
   40,174x = 7,655,900,004
5. Step 5: Solve for x
   x = 7,655,900,004/40,174
6. Step 6: Final answer
   x = 190,568.53