Finding the Third Proportional to 109,320 and 164,984

Step by Step Solution

1. Step 1: Write the proportion equation
   109,320 : 164,984 = 164,984 : x
2. Step 2: Convert to fraction form
   109,320/164,984 = 164,984/x
3. Step 3: Cross multiply
   109,320x = 164,984 × 164,984
4. Step 4: Simplify right side
   109,320x = 27,219,720,256
5. Step 5: Solve for x
   x = 27,219,720,256/109,320
6. Step 6: Final answer
   x = 248,991.22