Finding the Third Proportional to 126,761 and 189,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,761 : 189,746.50 = 189,746.50 : x
2. Step 2: Convert to fraction form
   126,761/189,746.50 = 189,746.50/x
3. Step 3: Cross multiply
   126,761x = 189,746.50 × 189,746.50
4. Step 4: Simplify right side
   126,761x = 36,003,734,262.25
5. Step 5: Solve for x
   x = 36,003,734,262.25/126,761
6. Step 6: Final answer
   x = 284,028.48