Finding the Third Proportional to 1,181.63 and 1,444.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.63 : 1,444.88 = 1,444.88 : x
2. Step 2: Convert to fraction form
   1,181.63/1,444.88 = 1,444.88/x
3. Step 3: Cross multiply
   1,181.63x = 1,444.88 × 1,444.88
4. Step 4: Simplify right side
   1,181.63x = 2,087,663.77
5. Step 5: Solve for x
   x = 2,087,663.77/1,181.63
6. Step 6: Final answer
   x = 1,766.77