Finding the Third Proportional to 120,116 and 188,414

Step by Step Solution

1. Step 1: Write the proportion equation
   120,116 : 188,414 = 188,414 : x
2. Step 2: Convert to fraction form
   120,116/188,414 = 188,414/x
3. Step 3: Cross multiply
   120,116x = 188,414 × 188,414
4. Step 4: Simplify right side
   120,116x = 35,499,835,396
5. Step 5: Solve for x
   x = 35,499,835,396/120,116
6. Step 6: Final answer
   x = 295,546.27