Finding the Third Proportional to 76,322 and 112,196

Step by Step Solution

1. Step 1: Write the proportion equation
   76,322 : 112,196 = 112,196 : x
2. Step 2: Convert to fraction form
   76,322/112,196 = 112,196/x
3. Step 3: Cross multiply
   76,322x = 112,196 × 112,196
4. Step 4: Simplify right side
   76,322x = 12,587,942,416
5. Step 5: Solve for x
   x = 12,587,942,416/76,322
6. Step 6: Final answer
   x = 164,932.03