Finding the Third Proportional to 1,177.88 and 1,781.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177.88 : 1,781.72 = 1,781.72 : x
2. Step 2: Convert to fraction form
   1,177.88/1,781.72 = 1,781.72/x
3. Step 3: Cross multiply
   1,177.88x = 1,781.72 × 1,781.72
4. Step 4: Simplify right side
   1,177.88x = 3,174,521.70
5. Step 5: Solve for x
   x = 3,174,521.70/1,177.88
6. Step 6: Final answer
   x = 2,695.13