Finding the Third Proportional to 82,678.50 and 123,783

Step by Step Solution

1. Step 1: Write the proportion equation
   82,678.50 : 123,783 = 123,783 : x
2. Step 2: Convert to fraction form
   82,678.50/123,783 = 123,783/x
3. Step 3: Cross multiply
   82,678.50x = 123,783 × 123,783
4. Step 4: Simplify right side
   82,678.50x = 15,322,231,089
5. Step 5: Solve for x
   x = 15,322,231,089/82,678.50
6. Step 6: Final answer
   x = 185,323.04