Finding the Third Proportional to 63,823.50 and 139,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   63,823.50 : 139,538.25 = 139,538.25 : x
2. Step 2: Convert to fraction form
   63,823.50/139,538.25 = 139,538.25/x
3. Step 3: Cross multiply
   63,823.50x = 139,538.25 × 139,538.25
4. Step 4: Simplify right side
   63,823.50x = 19,470,923,213.06
5. Step 5: Solve for x
   x = 19,470,923,213.06/63,823.50
6. Step 6: Final answer
   x = 305,074.51