Finding the Third Proportional to 147,749 and 356,196

Step by Step Solution

1. Step 1: Write the proportion equation
   147,749 : 356,196 = 356,196 : x
2. Step 2: Convert to fraction form
   147,749/356,196 = 356,196/x
3. Step 3: Cross multiply
   147,749x = 356,196 × 356,196
4. Step 4: Simplify right side
   147,749x = 126,875,590,416
5. Step 5: Solve for x
   x = 126,875,590,416/147,749
6. Step 6: Final answer
   x = 858,723.85