Finding the Third Proportional to 65,749 and 106,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,749 : 106,820.50 = 106,820.50 : x
2. Step 2: Convert to fraction form
   65,749/106,820.50 = 106,820.50/x
3. Step 3: Cross multiply
   65,749x = 106,820.50 × 106,820.50
4. Step 4: Simplify right side
   65,749x = 11,410,619,220.25
5. Step 5: Solve for x
   x = 11,410,619,220.25/65,749
6. Step 6: Final answer
   x = 173,548.18