Finding the Third Proportional to 59,820 and 125,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,820 : 125,836.50 = 125,836.50 : x
2. Step 2: Convert to fraction form
   59,820/125,836.50 = 125,836.50/x
3. Step 3: Cross multiply
   59,820x = 125,836.50 × 125,836.50
4. Step 4: Simplify right side
   59,820x = 15,834,824,732.25
5. Step 5: Solve for x
   x = 15,834,824,732.25/59,820
6. Step 6: Final answer
   x = 264,707.87