Finding the Third Proportional to 109,556 and 156,558

Step by Step Solution

1. Step 1: Write the proportion equation
   109,556 : 156,558 = 156,558 : x
2. Step 2: Convert to fraction form
   109,556/156,558 = 156,558/x
3. Step 3: Cross multiply
   109,556x = 156,558 × 156,558
4. Step 4: Simplify right side
   109,556x = 24,510,407,364
5. Step 5: Solve for x
   x = 24,510,407,364/109,556
6. Step 6: Final answer
   x = 223,724.92