Finding the Third Proportional to 126,774 and 194,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,774 : 194,878.50 = 194,878.50 : x
2. Step 2: Convert to fraction form
   126,774/194,878.50 = 194,878.50/x
3. Step 3: Cross multiply
   126,774x = 194,878.50 × 194,878.50
4. Step 4: Simplify right side
   126,774x = 37,977,629,762.25
5. Step 5: Solve for x
   x = 37,977,629,762.25/126,774
6. Step 6: Final answer
   x = 299,569.55