Finding the Third Proportional to 521.86 and 1,109.95

Step by Step Solution

1. Step 1: Write the proportion equation
   521.86 : 1,109.95 = 1,109.95 : x
2. Step 2: Convert to fraction form
   521.86/1,109.95 = 1,109.95/x
3. Step 3: Cross multiply
   521.86x = 1,109.95 × 1,109.95
4. Step 4: Simplify right side
   521.86x = 1,231,995.94
5. Step 5: Solve for x
   x = 1,231,995.94/521.86
6. Step 6: Final answer
   x = 2,360.78