Finding the Third Proportional to 108,283 and 166,650

Step by Step Solution

1. Step 1: Write the proportion equation
   108,283 : 166,650 = 166,650 : x
2. Step 2: Convert to fraction form
   108,283/166,650 = 166,650/x
3. Step 3: Cross multiply
   108,283x = 166,650 × 166,650
4. Step 4: Simplify right side
   108,283x = 27,772,222,500
5. Step 5: Solve for x
   x = 27,772,222,500/108,283
6. Step 6: Final answer
   x = 256,478.14