Finding the Third Proportional to 126,189 and 269,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,189 : 269,887.50 = 269,887.50 : x
2. Step 2: Convert to fraction form
   126,189/269,887.50 = 269,887.50/x
3. Step 3: Cross multiply
   126,189x = 269,887.50 × 269,887.50
4. Step 4: Simplify right side
   126,189x = 72,839,262,656.25
5. Step 5: Solve for x
   x = 72,839,262,656.25/126,189
6. Step 6: Final answer
   x = 577,223.55