Finding the Third Proportional to 126,991 and 271,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,991 : 271,477.50 = 271,477.50 : x
2. Step 2: Convert to fraction form
   126,991/271,477.50 = 271,477.50/x
3. Step 3: Cross multiply
   126,991x = 271,477.50 × 271,477.50
4. Step 4: Simplify right side
   126,991x = 73,700,033,006.25
5. Step 5: Solve for x
   x = 73,700,033,006.25/126,991
6. Step 6: Final answer
   x = 580,356.35