Finding the Third Proportional to 108,174 and 166,374

Step by Step Solution

1. Step 1: Write the proportion equation
   108,174 : 166,374 = 166,374 : x
2. Step 2: Convert to fraction form
   108,174/166,374 = 166,374/x
3. Step 3: Cross multiply
   108,174x = 166,374 × 166,374
4. Step 4: Simplify right side
   108,174x = 27,680,307,876
5. Step 5: Solve for x
   x = 27,680,307,876/108,174
6. Step 6: Final answer
   x = 255,886.88