Finding the Third Proportional to 59,878 and 83,254.69

Step by Step Solution

1. Step 1: Write the proportion equation
   59,878 : 83,254.69 = 83,254.69 : x
2. Step 2: Convert to fraction form
   59,878/83,254.69 = 83,254.69/x
3. Step 3: Cross multiply
   59,878x = 83,254.69 × 83,254.69
4. Step 4: Simplify right side
   59,878x = 6,931,342,990.72
5. Step 5: Solve for x
   x = 6,931,342,990.72/59,878
6. Step 6: Final answer
   x = 115,757.76