Finding the Third Proportional to 125,742 and 269,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,742 : 269,458.50 = 269,458.50 : x
2. Step 2: Convert to fraction form
   125,742/269,458.50 = 269,458.50/x
3. Step 3: Cross multiply
   125,742x = 269,458.50 × 269,458.50
4. Step 4: Simplify right side
   125,742x = 72,607,883,222.25
5. Step 5: Solve for x
   x = 72,607,883,222.25/125,742
6. Step 6: Final answer
   x = 577,435.41