Finding the Third Proportional to 111,133 and 172,127

Step by Step Solution

1. Step 1: Write the proportion equation
   111,133 : 172,127 = 172,127 : x
2. Step 2: Convert to fraction form
   111,133/172,127 = 172,127/x
3. Step 3: Cross multiply
   111,133x = 172,127 × 172,127
4. Step 4: Simplify right side
   111,133x = 29,627,704,129
5. Step 5: Solve for x
   x = 29,627,704,129/111,133
6. Step 6: Final answer
   x = 266,596.82