Finding the Third Proportional to 72,416 and 113,196

Step by Step Solution

1. Step 1: Write the proportion equation
   72,416 : 113,196 = 113,196 : x
2. Step 2: Convert to fraction form
   72,416/113,196 = 113,196/x
3. Step 3: Cross multiply
   72,416x = 113,196 × 113,196
4. Step 4: Simplify right side
   72,416x = 12,813,334,416
5. Step 5: Solve for x
   x = 12,813,334,416/72,416
6. Step 6: Final answer
   x = 176,940.65