Finding the Third Proportional to 110,894 and 172,032

Step by Step Solution

1. Step 1: Write the proportion equation
   110,894 : 172,032 = 172,032 : x
2. Step 2: Convert to fraction form
   110,894/172,032 = 172,032/x
3. Step 3: Cross multiply
   110,894x = 172,032 × 172,032
4. Step 4: Simplify right side
   110,894x = 29,595,009,024
5. Step 5: Solve for x
   x = 29,595,009,024/110,894
6. Step 6: Final answer
   x = 266,876.56