Finding the Third Proportional to 131,556 and 196,558

Step by Step Solution

1. Step 1: Write the proportion equation
   131,556 : 196,558 = 196,558 : x
2. Step 2: Convert to fraction form
   131,556/196,558 = 196,558/x
3. Step 3: Cross multiply
   131,556x = 196,558 × 196,558
4. Step 4: Simplify right side
   131,556x = 38,635,047,364
5. Step 5: Solve for x
   x = 38,635,047,364/131,556
6. Step 6: Final answer
   x = 293,677.58