Finding the Third Proportional to 177,330 and 271,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,330 : 271,297.50 = 271,297.50 : x
2. Step 2: Convert to fraction form
   177,330/271,297.50 = 271,297.50/x
3. Step 3: Cross multiply
   177,330x = 271,297.50 × 271,297.50
4. Step 4: Simplify right side
   177,330x = 73,602,333,506.25
5. Step 5: Solve for x
   x = 73,602,333,506.25/177,330
6. Step 6: Final answer
   x = 415,058.55