Finding the Third Proportional to 105,969 and 148,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,969 : 148,537.50 = 148,537.50 : x
2. Step 2: Convert to fraction form
   105,969/148,537.50 = 148,537.50/x
3. Step 3: Cross multiply
   105,969x = 148,537.50 × 148,537.50
4. Step 4: Simplify right side
   105,969x = 22,063,388,906.25
5. Step 5: Solve for x
   x = 22,063,388,906.25/105,969
6. Step 6: Final answer
   x = 208,206.07