Finding the Third Proportional to 125,288 and 262,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,288 : 262,877.50 = 262,877.50 : x
2. Step 2: Convert to fraction form
   125,288/262,877.50 = 262,877.50/x
3. Step 3: Cross multiply
   125,288x = 262,877.50 × 262,877.50
4. Step 4: Simplify right side
   125,288x = 69,104,580,006.25
5. Step 5: Solve for x
   x = 69,104,580,006.25/125,288
6. Step 6: Final answer
   x = 551,565.83