Finding the Third Proportional to 177,454 and 271,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,454 : 271,496.50 = 271,496.50 : x
2. Step 2: Convert to fraction form
   177,454/271,496.50 = 271,496.50/x
3. Step 3: Cross multiply
   177,454x = 271,496.50 × 271,496.50
4. Step 4: Simplify right side
   177,454x = 73,710,349,512.25
5. Step 5: Solve for x
   x = 73,710,349,512.25/177,454
6. Step 6: Final answer
   x = 415,377.22