Finding the Third Proportional to 126,738 and 177,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,738 : 177,187.50 = 177,187.50 : x
2. Step 2: Convert to fraction form
   126,738/177,187.50 = 177,187.50/x
3. Step 3: Cross multiply
   126,738x = 177,187.50 × 177,187.50
4. Step 4: Simplify right side
   126,738x = 31,395,410,156.25
5. Step 5: Solve for x
   x = 31,395,410,156.25/126,738
6. Step 6: Final answer
   x = 247,719.00