Finding the Third Proportional to 120,384 and 161,054

Step by Step Solution

1. Step 1: Write the proportion equation
   120,384 : 161,054 = 161,054 : x
2. Step 2: Convert to fraction form
   120,384/161,054 = 161,054/x
3. Step 3: Cross multiply
   120,384x = 161,054 × 161,054
4. Step 4: Simplify right side
   120,384x = 25,938,390,916
5. Step 5: Solve for x
   x = 25,938,390,916/120,384
6. Step 6: Final answer
   x = 215,463.77