Finding the Third Proportional to 1,123.88 and 1,415.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.88 : 1,415.81 = 1,415.81 : x
2. Step 2: Convert to fraction form
   1,123.88/1,415.81 = 1,415.81/x
3. Step 3: Cross multiply
   1,123.88x = 1,415.81 × 1,415.81
4. Step 4: Simplify right side
   1,123.88x = 2,004,525.04
5. Step 5: Solve for x
   x = 2,004,525.04/1,123.88
6. Step 6: Final answer
   x = 1,783.58