Finding the Third Proportional to 111,070 and 172,033

Step by Step Solution

1. Step 1: Write the proportion equation
   111,070 : 172,033 = 172,033 : x
2. Step 2: Convert to fraction form
   111,070/172,033 = 172,033/x
3. Step 3: Cross multiply
   111,070x = 172,033 × 172,033
4. Step 4: Simplify right side
   111,070x = 29,595,353,089
5. Step 5: Solve for x
   x = 29,595,353,089/111,070
6. Step 6: Final answer
   x = 266,456.77