Finding the Third Proportional to 87,072 and 177,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,072 : 177,834.50 = 177,834.50 : x
2. Step 2: Convert to fraction form
   87,072/177,834.50 = 177,834.50/x
3. Step 3: Cross multiply
   87,072x = 177,834.50 × 177,834.50
4. Step 4: Simplify right side
   87,072x = 31,625,109,390.25
5. Step 5: Solve for x
   x = 31,625,109,390.25/87,072
6. Step 6: Final answer
   x = 363,206.42