Finding the Third Proportional to 47,767.50 and 101,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,767.50 : 101,224.50 = 101,224.50 : x
2. Step 2: Convert to fraction form
   47,767.50/101,224.50 = 101,224.50/x
3. Step 3: Cross multiply
   47,767.50x = 101,224.50 × 101,224.50
4. Step 4: Simplify right side
   47,767.50x = 10,246,399,400.25
5. Step 5: Solve for x
   x = 10,246,399,400.25/47,767.50
6. Step 6: Final answer
   x = 214,505.67