Finding the Third Proportional to 106,588.50 and 227,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,588.50 : 227,947.50 = 227,947.50 : x
2. Step 2: Convert to fraction form
   106,588.50/227,947.50 = 227,947.50/x
3. Step 3: Cross multiply
   106,588.50x = 227,947.50 × 227,947.50
4. Step 4: Simplify right side
   106,588.50x = 51,960,062,756.25
5. Step 5: Solve for x
   x = 51,960,062,756.25/106,588.50
6. Step 6: Final answer
   x = 487,482.82