Finding the Third Proportional to 838.50 and 1,178.63

Step by Step Solution

1. Step 1: Write the proportion equation
   838.50 : 1,178.63 = 1,178.63 : x
2. Step 2: Convert to fraction form
   838.50/1,178.63 = 1,178.63/x
3. Step 3: Cross multiply
   838.50x = 1,178.63 × 1,178.63
4. Step 4: Simplify right side
   838.50x = 1,389,156.89
5. Step 5: Solve for x
   x = 1,389,156.89/838.50
6. Step 6: Final answer
   x = 1,656.72