Finding the Third Proportional to 123,752 and 185,164

Step by Step Solution

1. Step 1: Write the proportion equation
   123,752 : 185,164 = 185,164 : x
2. Step 2: Convert to fraction form
   123,752/185,164 = 185,164/x
3. Step 3: Cross multiply
   123,752x = 185,164 × 185,164
4. Step 4: Simplify right side
   123,752x = 34,285,706,896
5. Step 5: Solve for x
   x = 34,285,706,896/123,752
6. Step 6: Final answer
   x = 277,051.74