Finding the Third Proportional to 41,577 and 85,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,577 : 85,603.50 = 85,603.50 : x
2. Step 2: Convert to fraction form
   41,577/85,603.50 = 85,603.50/x
3. Step 3: Cross multiply
   41,577x = 85,603.50 × 85,603.50
4. Step 4: Simplify right side
   41,577x = 7,327,959,212.25
5. Step 5: Solve for x
   x = 7,327,959,212.25/41,577
6. Step 6: Final answer
   x = 176,250.31