Finding the Third Proportional to 111,780 and 166,151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,780 : 166,151.25 = 166,151.25 : x
2. Step 2: Convert to fraction form
   111,780/166,151.25 = 166,151.25/x
3. Step 3: Cross multiply
   111,780x = 166,151.25 × 166,151.25
4. Step 4: Simplify right side
   111,780x = 27,606,237,876.56
5. Step 5: Solve for x
   x = 27,606,237,876.56/111,780
6. Step 6: Final answer
   x = 246,969.39