Finding the Third Proportional to 113,926.50 and 166,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,926.50 : 166,475.25 = 166,475.25 : x
2. Step 2: Convert to fraction form
   113,926.50/166,475.25 = 166,475.25/x
3. Step 3: Cross multiply
   113,926.50x = 166,475.25 × 166,475.25
4. Step 4: Simplify right side
   113,926.50x = 27,714,008,862.56
5. Step 5: Solve for x
   x = 27,714,008,862.56/113,926.50
6. Step 6: Final answer
   x = 243,262.18