Finding the Third Proportional to 111,091 and 172,064

Step by Step Solution

1. Step 1: Write the proportion equation
   111,091 : 172,064 = 172,064 : x
2. Step 2: Convert to fraction form
   111,091/172,064 = 172,064/x
3. Step 3: Cross multiply
   111,091x = 172,064 × 172,064
4. Step 4: Simplify right side
   111,091x = 29,606,020,096
5. Step 5: Solve for x
   x = 29,606,020,096/111,091
6. Step 6: Final answer
   x = 266,502.42