Finding the Third Proportional to 123,628 and 185,358

Step by Step Solution

1. Step 1: Write the proportion equation
   123,628 : 185,358 = 185,358 : x
2. Step 2: Convert to fraction form
   123,628/185,358 = 185,358/x
3. Step 3: Cross multiply
   123,628x = 185,358 × 185,358
4. Step 4: Simplify right side
   123,628x = 34,357,588,164
5. Step 5: Solve for x
   x = 34,357,588,164/123,628
6. Step 6: Final answer
   x = 277,911.06