Finding the Third Proportional to 55,834 and 83,869

Step by Step Solution

1. Step 1: Write the proportion equation
   55,834 : 83,869 = 83,869 : x
2. Step 2: Convert to fraction form
   55,834/83,869 = 83,869/x
3. Step 3: Cross multiply
   55,834x = 83,869 × 83,869
4. Step 4: Simplify right side
   55,834x = 7,034,009,161
5. Step 5: Solve for x
   x = 7,034,009,161/55,834
6. Step 6: Final answer
   x = 125,980.75