Finding the Third Proportional to 103,693.50 and 149,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,693.50 : 149,890.50 = 149,890.50 : x
2. Step 2: Convert to fraction form
   103,693.50/149,890.50 = 149,890.50/x
3. Step 3: Cross multiply
   103,693.50x = 149,890.50 × 149,890.50
4. Step 4: Simplify right side
   103,693.50x = 22,467,161,990.25
5. Step 5: Solve for x
   x = 22,467,161,990.25/103,693.50
6. Step 6: Final answer
   x = 216,668.95