Finding the Third Proportional to 126,783 and 177,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,783 : 177,241.50 = 177,241.50 : x
2. Step 2: Convert to fraction form
   126,783/177,241.50 = 177,241.50/x
3. Step 3: Cross multiply
   126,783x = 177,241.50 × 177,241.50
4. Step 4: Simplify right side
   126,783x = 31,414,549,322.25
5. Step 5: Solve for x
   x = 31,414,549,322.25/126,783
6. Step 6: Final answer
   x = 247,782.03