Finding the Third Proportional to 82,200 and 123,776

Step by Step Solution

1. Step 1: Write the proportion equation
   82,200 : 123,776 = 123,776 : x
2. Step 2: Convert to fraction form
   82,200/123,776 = 123,776/x
3. Step 3: Cross multiply
   82,200x = 123,776 × 123,776
4. Step 4: Simplify right side
   82,200x = 15,320,498,176
5. Step 5: Solve for x
   x = 15,320,498,176/82,200
6. Step 6: Final answer
   x = 186,380.76