Finding the Third Proportional to 82,179 and 123,363

Step by Step Solution

1. Step 1: Write the proportion equation
   82,179 : 123,363 = 123,363 : x
2. Step 2: Convert to fraction form
   82,179/123,363 = 123,363/x
3. Step 3: Cross multiply
   82,179x = 123,363 × 123,363
4. Step 4: Simplify right side
   82,179x = 15,218,429,769
5. Step 5: Solve for x
   x = 15,218,429,769/82,179
6. Step 6: Final answer
   x = 185,186.36