Finding the Third Proportional to 83,157 and 147,846

Step by Step Solution

1. Step 1: Write the proportion equation
   83,157 : 147,846 = 147,846 : x
2. Step 2: Convert to fraction form
   83,157/147,846 = 147,846/x
3. Step 3: Cross multiply
   83,157x = 147,846 × 147,846
4. Step 4: Simplify right side
   83,157x = 21,858,439,716
5. Step 5: Solve for x
   x = 21,858,439,716/83,157
6. Step 6: Final answer
   x = 262,857.48