Finding the Third Proportional to 82,674 and 123,776

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 123,776 = 123,776 : x
2. Step 2: Convert to fraction form
   82,674/123,776 = 123,776/x
3. Step 3: Cross multiply
   82,674x = 123,776 × 123,776
4. Step 4: Simplify right side
   82,674x = 15,320,498,176
5. Step 5: Solve for x
   x = 15,320,498,176/82,674
6. Step 6: Final answer
   x = 185,312.17