Finding the Third Proportional to 114,520 and 178,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,520 : 178,324.50 = 178,324.50 : x
2. Step 2: Convert to fraction form
   114,520/178,324.50 = 178,324.50/x
3. Step 3: Cross multiply
   114,520x = 178,324.50 × 178,324.50
4. Step 4: Simplify right side
   114,520x = 31,799,627,300.25
5. Step 5: Solve for x
   x = 31,799,627,300.25/114,520
6. Step 6: Final answer
   x = 277,677.50