Finding the Third Proportional to 177,633 and 274,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,633 : 274,981.50 = 274,981.50 : x
2. Step 2: Convert to fraction form
   177,633/274,981.50 = 274,981.50/x
3. Step 3: Cross multiply
   177,633x = 274,981.50 × 274,981.50
4. Step 4: Simplify right side
   177,633x = 75,614,825,342.25
5. Step 5: Solve for x
   x = 75,614,825,342.25/177,633
6. Step 6: Final answer
   x = 425,680.06