Finding the Third Proportional to 101,751 and 149,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,751 : 149,584.50 = 149,584.50 : x
2. Step 2: Convert to fraction form
   101,751/149,584.50 = 149,584.50/x
3. Step 3: Cross multiply
   101,751x = 149,584.50 × 149,584.50
4. Step 4: Simplify right side
   101,751x = 22,375,522,640.25
5. Step 5: Solve for x
   x = 22,375,522,640.25/101,751
6. Step 6: Final answer
   x = 219,904.70