Finding the Third Proportional to 113,821.50 and 166,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,821.50 : 166,357.50 = 166,357.50 : x
2. Step 2: Convert to fraction form
   113,821.50/166,357.50 = 166,357.50/x
3. Step 3: Cross multiply
   113,821.50x = 166,357.50 × 166,357.50
4. Step 4: Simplify right side
   113,821.50x = 27,674,817,806.25
5. Step 5: Solve for x
   x = 27,674,817,806.25/113,821.50
6. Step 6: Final answer
   x = 243,142.27