Finding the Third Proportional to 111,290 and 172,335

Step by Step Solution

1. Step 1: Write the proportion equation
   111,290 : 172,335 = 172,335 : x
2. Step 2: Convert to fraction form
   111,290/172,335 = 172,335/x
3. Step 3: Cross multiply
   111,290x = 172,335 × 172,335
4. Step 4: Simplify right side
   111,290x = 29,699,352,225
5. Step 5: Solve for x
   x = 29,699,352,225/111,290
6. Step 6: Final answer
   x = 266,864.52