Finding the Third Proportional to 40,535 and 88,377

Step by Step Solution

1. Step 1: Write the proportion equation
   40,535 : 88,377 = 88,377 : x
2. Step 2: Convert to fraction form
   40,535/88,377 = 88,377/x
3. Step 3: Cross multiply
   40,535x = 88,377 × 88,377
4. Step 4: Simplify right side
   40,535x = 7,810,494,129
5. Step 5: Solve for x
   x = 7,810,494,129/40,535
6. Step 6: Final answer
   x = 192,685.19