Finding the Third Proportional to 40,401 and 88,146

Step by Step Solution

1. Step 1: Write the proportion equation
   40,401 : 88,146 = 88,146 : x
2. Step 2: Convert to fraction form
   40,401/88,146 = 88,146/x
3. Step 3: Cross multiply
   40,401x = 88,146 × 88,146
4. Step 4: Simplify right side
   40,401x = 7,769,717,316
5. Step 5: Solve for x
   x = 7,769,717,316/40,401
6. Step 6: Final answer
   x = 192,314.98