Finding the Third Proportional to 41,877 and 88,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,877 : 88,411.50 = 88,411.50 : x
2. Step 2: Convert to fraction form
   41,877/88,411.50 = 88,411.50/x
3. Step 3: Cross multiply
   41,877x = 88,411.50 × 88,411.50
4. Step 4: Simplify right side
   41,877x = 7,816,593,332.25
5. Step 5: Solve for x
   x = 7,816,593,332.25/41,877
6. Step 6: Final answer
   x = 186,656.00