Finding the Third Proportional to 173,216 and 380,148

Step by Step Solution

1. Step 1: Write the proportion equation
   173,216 : 380,148 = 380,148 : x
2. Step 2: Convert to fraction form
   173,216/380,148 = 380,148/x
3. Step 3: Cross multiply
   173,216x = 380,148 × 380,148
4. Step 4: Simplify right side
   173,216x = 144,512,501,904
5. Step 5: Solve for x
   x = 144,512,501,904/173,216
6. Step 6: Final answer
   x = 834,290.72