Finding the Third Proportional to 125,898 and 186,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,898 : 186,469.50 = 186,469.50 : x
2. Step 2: Convert to fraction form
   125,898/186,469.50 = 186,469.50/x
3. Step 3: Cross multiply
   125,898x = 186,469.50 × 186,469.50
4. Step 4: Simplify right side
   125,898x = 34,770,874,430.25
5. Step 5: Solve for x
   x = 34,770,874,430.25/125,898
6. Step 6: Final answer
   x = 276,182.90