Finding the Third Proportional to 129,328 and 194,144

Step by Step Solution

1. Step 1: Write the proportion equation
   129,328 : 194,144 = 194,144 : x
2. Step 2: Convert to fraction form
   129,328/194,144 = 194,144/x
3. Step 3: Cross multiply
   129,328x = 194,144 × 194,144
4. Step 4: Simplify right side
   129,328x = 37,691,892,736
5. Step 5: Solve for x
   x = 37,691,892,736/129,328
6. Step 6: Final answer
   x = 291,444.18