Finding the Third Proportional to 41,418 and 88,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,418 : 88,654.50 = 88,654.50 : x
2. Step 2: Convert to fraction form
   41,418/88,654.50 = 88,654.50/x
3. Step 3: Cross multiply
   41,418x = 88,654.50 × 88,654.50
4. Step 4: Simplify right side
   41,418x = 7,859,620,370.25
5. Step 5: Solve for x
   x = 7,859,620,370.25/41,418
6. Step 6: Final answer
   x = 189,763.40