Finding the Third Proportional to 54,535.50 and 114,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,535.50 : 114,037.50 = 114,037.50 : x
2. Step 2: Convert to fraction form
   54,535.50/114,037.50 = 114,037.50/x
3. Step 3: Cross multiply
   54,535.50x = 114,037.50 × 114,037.50
4. Step 4: Simplify right side
   54,535.50x = 13,004,551,406.25
5. Step 5: Solve for x
   x = 13,004,551,406.25/54,535.50
6. Step 6: Final answer
   x = 238,460.29