Finding the Third Proportional to 126,951 and 271,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,951 : 271,396.50 = 271,396.50 : x
2. Step 2: Convert to fraction form
   126,951/271,396.50 = 271,396.50/x
3. Step 3: Cross multiply
   126,951x = 271,396.50 × 271,396.50
4. Step 4: Simplify right side
   126,951x = 73,656,060,212.25
5. Step 5: Solve for x
   x = 73,656,060,212.25/126,951
6. Step 6: Final answer
   x = 580,192.83