Finding the Third Proportional to 40,264 and 84,196

Step by Step Solution

1. Step 1: Write the proportion equation
   40,264 : 84,196 = 84,196 : x
2. Step 2: Convert to fraction form
   40,264/84,196 = 84,196/x
3. Step 3: Cross multiply
   40,264x = 84,196 × 84,196
4. Step 4: Simplify right side
   40,264x = 7,088,966,416
5. Step 5: Solve for x
   x = 7,088,966,416/40,264
6. Step 6: Final answer
   x = 176,062.15