Finding the Third Proportional to 111,271 and 164,461

Step by Step Solution

1. Step 1: Write the proportion equation
   111,271 : 164,461 = 164,461 : x
2. Step 2: Convert to fraction form
   111,271/164,461 = 164,461/x
3. Step 3: Cross multiply
   111,271x = 164,461 × 164,461
4. Step 4: Simplify right side
   111,271x = 27,047,420,521
5. Step 5: Solve for x
   x = 27,047,420,521/111,271
6. Step 6: Final answer
   x = 243,077.00