Finding the Third Proportional to 111,456 and 172,773

Step by Step Solution

1. Step 1: Write the proportion equation
   111,456 : 172,773 = 172,773 : x
2. Step 2: Convert to fraction form
   111,456/172,773 = 172,773/x
3. Step 3: Cross multiply
   111,456x = 172,773 × 172,773
4. Step 4: Simplify right side
   111,456x = 29,850,509,529
5. Step 5: Solve for x
   x = 29,850,509,529/111,456
6. Step 6: Final answer
   x = 267,823.26