Finding the Third Proportional to 469 and 1,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   469 : 1,194.50 = 1,194.50 : x
2. Step 2: Convert to fraction form
   469/1,194.50 = 1,194.50/x
3. Step 3: Cross multiply
   469x = 1,194.50 × 1,194.50
4. Step 4: Simplify right side
   469x = 1,426,830.25
5. Step 5: Solve for x
   x = 1,426,830.25/469
6. Step 6: Final answer
   x = 3,042.28