Finding the Third Proportional to 114,520 and 178,323.63

Step by Step Solution

1. Step 1: Write the proportion equation
   114,520 : 178,323.63 = 178,323.63 : x
2. Step 2: Convert to fraction form
   114,520/178,323.63 = 178,323.63/x
3. Step 3: Cross multiply
   114,520x = 178,323.63 × 178,323.63
4. Step 4: Simplify right side
   114,520x = 31,799,315,233.14
5. Step 5: Solve for x
   x = 31,799,315,233.14/114,520
6. Step 6: Final answer
   x = 277,674.78