Finding the Third Proportional to 126,447 and 177,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,447 : 177,898.50 = 177,898.50 : x
2. Step 2: Convert to fraction form
   126,447/177,898.50 = 177,898.50/x
3. Step 3: Cross multiply
   126,447x = 177,898.50 × 177,898.50
4. Step 4: Simplify right side
   126,447x = 31,647,876,302.25
5. Step 5: Solve for x
   x = 31,647,876,302.25/126,447
6. Step 6: Final answer
   x = 250,285.70