Finding the Third Proportional to 123,274 and 176,154

Step by Step Solution

1. Step 1: Write the proportion equation
   123,274 : 176,154 = 176,154 : x
2. Step 2: Convert to fraction form
   123,274/176,154 = 176,154/x
3. Step 3: Cross multiply
   123,274x = 176,154 × 176,154
4. Step 4: Simplify right side
   123,274x = 31,030,231,716
5. Step 5: Solve for x
   x = 31,030,231,716/123,274
6. Step 6: Final answer
   x = 251,717.57