Finding the Third Proportional to 40,434 and 88,206

Step by Step Solution

1. Step 1: Write the proportion equation
   40,434 : 88,206 = 88,206 : x
2. Step 2: Convert to fraction form
   40,434/88,206 = 88,206/x
3. Step 3: Cross multiply
   40,434x = 88,206 × 88,206
4. Step 4: Simplify right side
   40,434x = 7,780,298,436
5. Step 5: Solve for x
   x = 7,780,298,436/40,434
6. Step 6: Final answer
   x = 192,419.71