Finding the Third Proportional to 82,516 and 116,646

Step by Step Solution

1. Step 1: Write the proportion equation
   82,516 : 116,646 = 116,646 : x
2. Step 2: Convert to fraction form
   82,516/116,646 = 116,646/x
3. Step 3: Cross multiply
   82,516x = 116,646 × 116,646
4. Step 4: Simplify right side
   82,516x = 13,606,289,316
5. Step 5: Solve for x
   x = 13,606,289,316/82,516
6. Step 6: Final answer
   x = 164,892.74