Finding the Third Proportional to 1,117.13 and 1,274.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.13 : 1,274.06 = 1,274.06 : x
2. Step 2: Convert to fraction form
   1,117.13/1,274.06 = 1,274.06/x
3. Step 3: Cross multiply
   1,117.13x = 1,274.06 × 1,274.06
4. Step 4: Simplify right side
   1,117.13x = 1,623,235.25
5. Step 5: Solve for x
   x = 1,623,235.25/1,117.13
6. Step 6: Final answer
   x = 1,453.05