Finding the Third Proportional to 111,085 and 172,054

Step by Step Solution

1. Step 1: Write the proportion equation
   111,085 : 172,054 = 172,054 : x
2. Step 2: Convert to fraction form
   111,085/172,054 = 172,054/x
3. Step 3: Cross multiply
   111,085x = 172,054 × 172,054
4. Step 4: Simplify right side
   111,085x = 29,602,578,916
5. Step 5: Solve for x
   x = 29,602,578,916/111,085
6. Step 6: Final answer
   x = 266,485.83