Finding the Third Proportional to 177,324 and 271,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,324 : 271,288.50 = 271,288.50 : x
2. Step 2: Convert to fraction form
   177,324/271,288.50 = 271,288.50/x
3. Step 3: Cross multiply
   177,324x = 271,288.50 × 271,288.50
4. Step 4: Simplify right side
   177,324x = 73,597,450,232.25
5. Step 5: Solve for x
   x = 73,597,450,232.25/177,324
6. Step 6: Final answer
   x = 415,045.06