Finding the Third Proportional to 111,080 and 172,047

Step by Step Solution

1. Step 1: Write the proportion equation
   111,080 : 172,047 = 172,047 : x
2. Step 2: Convert to fraction form
   111,080/172,047 = 172,047/x
3. Step 3: Cross multiply
   111,080x = 172,047 × 172,047
4. Step 4: Simplify right side
   111,080x = 29,600,170,209
5. Step 5: Solve for x
   x = 29,600,170,209/111,080
6. Step 6: Final answer
   x = 266,476.15