Finding the Third Proportional to 114,046.50 and 178,902

Step by Step Solution

1. Step 1: Write the proportion equation
   114,046.50 : 178,902 = 178,902 : x
2. Step 2: Convert to fraction form
   114,046.50/178,902 = 178,902/x
3. Step 3: Cross multiply
   114,046.50x = 178,902 × 178,902
4. Step 4: Simplify right side
   114,046.50x = 32,005,925,604
5. Step 5: Solve for x
   x = 32,005,925,604/114,046.50
6. Step 6: Final answer
   x = 280,639.26