Finding the Third Proportional to 1,054.69 and 1,193.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.69 : 1,193.06 = 1,193.06 : x
2. Step 2: Convert to fraction form
   1,054.69/1,193.06 = 1,193.06/x
3. Step 3: Cross multiply
   1,054.69x = 1,193.06 × 1,193.06
4. Step 4: Simplify right side
   1,054.69x = 1,423,398.13
5. Step 5: Solve for x
   x = 1,423,398.13/1,054.69
6. Step 6: Final answer
   x = 1,349.59