Finding the Third Proportional to 73,749 and 110,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,749 : 110,695.50 = 110,695.50 : x
2. Step 2: Convert to fraction form
   73,749/110,695.50 = 110,695.50/x
3. Step 3: Cross multiply
   73,749x = 110,695.50 × 110,695.50
4. Step 4: Simplify right side
   73,749x = 12,253,493,720.25
5. Step 5: Solve for x
   x = 12,253,493,720.25/73,749
6. Step 6: Final answer
   x = 166,151.32