Finding the Third Proportional to 111,458 and 172,776

Step by Step Solution

1. Step 1: Write the proportion equation
   111,458 : 172,776 = 172,776 : x
2. Step 2: Convert to fraction form
   111,458/172,776 = 172,776/x
3. Step 3: Cross multiply
   111,458x = 172,776 × 172,776
4. Step 4: Simplify right side
   111,458x = 29,851,546,176
5. Step 5: Solve for x
   x = 29,851,546,176/111,458
6. Step 6: Final answer
   x = 267,827.76