Finding the Third Proportional to 40,941 and 88,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,941 : 88,159.50 = 88,159.50 : x
2. Step 2: Convert to fraction form
   40,941/88,159.50 = 88,159.50/x
3. Step 3: Cross multiply
   40,941x = 88,159.50 × 88,159.50
4. Step 4: Simplify right side
   40,941x = 7,772,097,440.25
5. Step 5: Solve for x
   x = 7,772,097,440.25/40,941
6. Step 6: Final answer
   x = 189,836.53