Finding the Third Proportional to 82,408 and 94,072

Step by Step Solution

1. Step 1: Write the proportion equation
   82,408 : 94,072 = 94,072 : x
2. Step 2: Convert to fraction form
   82,408/94,072 = 94,072/x
3. Step 3: Cross multiply
   82,408x = 94,072 × 94,072
4. Step 4: Simplify right side
   82,408x = 8,849,541,184
5. Step 5: Solve for x
   x = 8,849,541,184/82,408
6. Step 6: Final answer
   x = 107,386.92