Finding the Third Proportional to 40,406 and 88,156

Step by Step Solution

1. Step 1: Write the proportion equation
   40,406 : 88,156 = 88,156 : x
2. Step 2: Convert to fraction form
   40,406/88,156 = 88,156/x
3. Step 3: Cross multiply
   40,406x = 88,156 × 88,156
4. Step 4: Simplify right side
   40,406x = 7,771,480,336
5. Step 5: Solve for x
   x = 7,771,480,336/40,406
6. Step 6: Final answer
   x = 192,334.81