Finding the Third Proportional to 191,906 and 268,358

Step by Step Solution

1. Step 1: Write the proportion equation
   191,906 : 268,358 = 268,358 : x
2. Step 2: Convert to fraction form
   191,906/268,358 = 268,358/x
3. Step 3: Cross multiply
   191,906x = 268,358 × 268,358
4. Step 4: Simplify right side
   191,906x = 72,016,016,164
5. Step 5: Solve for x
   x = 72,016,016,164/191,906
6. Step 6: Final answer
   x = 375,267.14