Finding the Third Proportional to 89,356 and 176,456

Step by Step Solution

1. Step 1: Write the proportion equation
   89,356 : 176,456 = 176,456 : x
2. Step 2: Convert to fraction form
   89,356/176,456 = 176,456/x
3. Step 3: Cross multiply
   89,356x = 176,456 × 176,456
4. Step 4: Simplify right side
   89,356x = 31,136,719,936
5. Step 5: Solve for x
   x = 31,136,719,936/89,356
6. Step 6: Final answer
   x = 348,456.96