Finding the Third Proportional to 173,214 and 380,144

Step by Step Solution

1. Step 1: Write the proportion equation
   173,214 : 380,144 = 380,144 : x
2. Step 2: Convert to fraction form
   173,214/380,144 = 380,144/x
3. Step 3: Cross multiply
   173,214x = 380,144 × 380,144
4. Step 4: Simplify right side
   173,214x = 144,509,460,736
5. Step 5: Solve for x
   x = 144,509,460,736/173,214
6. Step 6: Final answer
   x = 834,282.80