Finding the Third Proportional to 108,746 and 158,385

Step by Step Solution

1. Step 1: Write the proportion equation
   108,746 : 158,385 = 158,385 : x
2. Step 2: Convert to fraction form
   108,746/158,385 = 158,385/x
3. Step 3: Cross multiply
   108,746x = 158,385 × 158,385
4. Step 4: Simplify right side
   108,746x = 25,085,808,225
5. Step 5: Solve for x
   x = 25,085,808,225/108,746
6. Step 6: Final answer
   x = 230,682.58