Finding the Third Proportional to 82,416 and 116,424

Step by Step Solution

1. Step 1: Write the proportion equation
   82,416 : 116,424 = 116,424 : x
2. Step 2: Convert to fraction form
   82,416/116,424 = 116,424/x
3. Step 3: Cross multiply
   82,416x = 116,424 × 116,424
4. Step 4: Simplify right side
   82,416x = 13,554,547,776
5. Step 5: Solve for x
   x = 13,554,547,776/82,416
6. Step 6: Final answer
   x = 164,465.00