Finding the Third Proportional to 749.88 and 1,186.52

Step by Step Solution

1. Step 1: Write the proportion equation
   749.88 : 1,186.52 = 1,186.52 : x
2. Step 2: Convert to fraction form
   749.88/1,186.52 = 1,186.52/x
3. Step 3: Cross multiply
   749.88x = 1,186.52 × 1,186.52
4. Step 4: Simplify right side
   749.88x = 1,407,837.87
5. Step 5: Solve for x
   x = 1,407,837.87/749.88
6. Step 6: Final answer
   x = 1,877.41