Finding the Third Proportional to 103,749.75 and 213,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,749.75 : 213,151.50 = 213,151.50 : x
2. Step 2: Convert to fraction form
   103,749.75/213,151.50 = 213,151.50/x
3. Step 3: Cross multiply
   103,749.75x = 213,151.50 × 213,151.50
4. Step 4: Simplify right side
   103,749.75x = 45,433,561,952.25
5. Step 5: Solve for x
   x = 45,433,561,952.25/103,749.75
6. Step 6: Final answer
   x = 437,914.91