Finding the Third Proportional to 111,127 and 172,118

Step by Step Solution

1. Step 1: Write the proportion equation
   111,127 : 172,118 = 172,118 : x
2. Step 2: Convert to fraction form
   111,127/172,118 = 172,118/x
3. Step 3: Cross multiply
   111,127x = 172,118 × 172,118
4. Step 4: Simplify right side
   111,127x = 29,624,605,924
5. Step 5: Solve for x
   x = 29,624,605,924/111,127
6. Step 6: Final answer
   x = 266,583.33