Finding the Third Proportional to 123,280 and 190,144

Step by Step Solution

1. Step 1: Write the proportion equation
   123,280 : 190,144 = 190,144 : x
2. Step 2: Convert to fraction form
   123,280/190,144 = 190,144/x
3. Step 3: Cross multiply
   123,280x = 190,144 × 190,144
4. Step 4: Simplify right side
   123,280x = 36,154,740,736
5. Step 5: Solve for x
   x = 36,154,740,736/123,280
6. Step 6: Final answer
   x = 293,273.37