Finding the Third Proportional to 87,524 and 178,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,524 : 178,256.50 = 178,256.50 : x
2. Step 2: Convert to fraction form
   87,524/178,256.50 = 178,256.50/x
3. Step 3: Cross multiply
   87,524x = 178,256.50 × 178,256.50
4. Step 4: Simplify right side
   87,524x = 31,775,379,792.25
5. Step 5: Solve for x
   x = 31,775,379,792.25/87,524
6. Step 6: Final answer
   x = 363,047.62