Finding the Third Proportional to 82,406 and 94,070

Step by Step Solution

1. Step 1: Write the proportion equation
   82,406 : 94,070 = 94,070 : x
2. Step 2: Convert to fraction form
   82,406/94,070 = 94,070/x
3. Step 3: Cross multiply
   82,406x = 94,070 × 94,070
4. Step 4: Simplify right side
   82,406x = 8,849,164,900
5. Step 5: Solve for x
   x = 8,849,164,900/82,406
6. Step 6: Final answer
   x = 107,384.96