Finding the Third Proportional to 83,858 and 113,947

Step by Step Solution

1. Step 1: Write the proportion equation
   83,858 : 113,947 = 113,947 : x
2. Step 2: Convert to fraction form
   83,858/113,947 = 113,947/x
3. Step 3: Cross multiply
   83,858x = 113,947 × 113,947
4. Step 4: Simplify right side
   83,858x = 12,983,918,809
5. Step 5: Solve for x
   x = 12,983,918,809/83,858
6. Step 6: Final answer
   x = 154,832.20