Finding the Third Proportional to 123,754 and 185,167

Step by Step Solution

1. Step 1: Write the proportion equation
   123,754 : 185,167 = 185,167 : x
2. Step 2: Convert to fraction form
   123,754/185,167 = 185,167/x
3. Step 3: Cross multiply
   123,754x = 185,167 × 185,167
4. Step 4: Simplify right side
   123,754x = 34,286,817,889
5. Step 5: Solve for x
   x = 34,286,817,889/123,754
6. Step 6: Final answer
   x = 277,056.24