Finding the Third Proportional to 109,253 and 164,880

Step by Step Solution

1. Step 1: Write the proportion equation
   109,253 : 164,880 = 164,880 : x
2. Step 2: Convert to fraction form
   109,253/164,880 = 164,880/x
3. Step 3: Cross multiply
   109,253x = 164,880 × 164,880
4. Step 4: Simplify right side
   109,253x = 27,185,414,400
5. Step 5: Solve for x
   x = 27,185,414,400/109,253
6. Step 6: Final answer
   x = 248,829.91