Finding the Third Proportional to 82,160 and 123,828

Step by Step Solution

1. Step 1: Write the proportion equation
   82,160 : 123,828 = 123,828 : x
2. Step 2: Convert to fraction form
   82,160/123,828 = 123,828/x
3. Step 3: Cross multiply
   82,160x = 123,828 × 123,828
4. Step 4: Simplify right side
   82,160x = 15,333,373,584
5. Step 5: Solve for x
   x = 15,333,373,584/82,160
6. Step 6: Final answer
   x = 186,628.21