Finding the Third Proportional to 110,784 and 171,984

Step by Step Solution

1. Step 1: Write the proportion equation
   110,784 : 171,984 = 171,984 : x
2. Step 2: Convert to fraction form
   110,784/171,984 = 171,984/x
3. Step 3: Cross multiply
   110,784x = 171,984 × 171,984
4. Step 4: Simplify right side
   110,784x = 29,578,496,256
5. Step 5: Solve for x
   x = 29,578,496,256/110,784
6. Step 6: Final answer
   x = 266,992.49