Finding the Third Proportional to 40,402 and 88,148

Step by Step Solution

1. Step 1: Write the proportion equation
   40,402 : 88,148 = 88,148 : x
2. Step 2: Convert to fraction form
   40,402/88,148 = 88,148/x
3. Step 3: Cross multiply
   40,402x = 88,148 × 88,148
4. Step 4: Simplify right side
   40,402x = 7,770,069,904
5. Step 5: Solve for x
   x = 7,770,069,904/40,402
6. Step 6: Final answer
   x = 192,318.94