Finding the Third Proportional to 40,142 and 88,229

Step by Step Solution

1. Step 1: Write the proportion equation
   40,142 : 88,229 = 88,229 : x
2. Step 2: Convert to fraction form
   40,142/88,229 = 88,229/x
3. Step 3: Cross multiply
   40,142x = 88,229 × 88,229
4. Step 4: Simplify right side
   40,142x = 7,784,356,441
5. Step 5: Solve for x
   x = 7,784,356,441/40,142
6. Step 6: Final answer
   x = 193,920.49