Finding the Third Proportional to 114,619.50 and 177,123

Step by Step Solution

1. Step 1: Write the proportion equation
   114,619.50 : 177,123 = 177,123 : x
2. Step 2: Convert to fraction form
   114,619.50/177,123 = 177,123/x
3. Step 3: Cross multiply
   114,619.50x = 177,123 × 177,123
4. Step 4: Simplify right side
   114,619.50x = 31,372,557,129
5. Step 5: Solve for x
   x = 31,372,557,129/114,619.50
6. Step 6: Final answer
   x = 273,710.47