Finding the Third Proportional to 101,613 and 144,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,613 : 144,946.50 = 144,946.50 : x
2. Step 2: Convert to fraction form
   101,613/144,946.50 = 144,946.50/x
3. Step 3: Cross multiply
   101,613x = 144,946.50 × 144,946.50
4. Step 4: Simplify right side
   101,613x = 21,009,487,862.25
5. Step 5: Solve for x
   x = 21,009,487,862.25/101,613
6. Step 6: Final answer
   x = 206,759.84