Finding the Third Proportional to 40,411 and 88,164

Step by Step Solution

1. Step 1: Write the proportion equation
   40,411 : 88,164 = 88,164 : x
2. Step 2: Convert to fraction form
   40,411/88,164 = 88,164/x
3. Step 3: Cross multiply
   40,411x = 88,164 × 88,164
4. Step 4: Simplify right side
   40,411x = 7,772,890,896
5. Step 5: Solve for x
   x = 7,772,890,896/40,411
6. Step 6: Final answer
   x = 192,345.92