Finding the Third Proportional to 56,878 and 83,858

Step by Step Solution

1. Step 1: Write the proportion equation
   56,878 : 83,858 = 83,858 : x
2. Step 2: Convert to fraction form
   56,878/83,858 = 83,858/x
3. Step 3: Cross multiply
   56,878x = 83,858 × 83,858
4. Step 4: Simplify right side
   56,878x = 7,032,164,164
5. Step 5: Solve for x
   x = 7,032,164,164/56,878
6. Step 6: Final answer
   x = 123,635.93