Finding the Third Proportional to 117,290 and 194,132

Step by Step Solution

1. Step 1: Write the proportion equation
   117,290 : 194,132 = 194,132 : x
2. Step 2: Convert to fraction form
   117,290/194,132 = 194,132/x
3. Step 3: Cross multiply
   117,290x = 194,132 × 194,132
4. Step 4: Simplify right side
   117,290x = 37,687,233,424
5. Step 5: Solve for x
   x = 37,687,233,424/117,290
6. Step 6: Final answer
   x = 321,316.68