Finding the Third Proportional to 111,365 and 172,706

Step by Step Solution

1. Step 1: Write the proportion equation
   111,365 : 172,706 = 172,706 : x
2. Step 2: Convert to fraction form
   111,365/172,706 = 172,706/x
3. Step 3: Cross multiply
   111,365x = 172,706 × 172,706
4. Step 4: Simplify right side
   111,365x = 29,827,362,436
5. Step 5: Solve for x
   x = 29,827,362,436/111,365
6. Step 6: Final answer
   x = 267,834.26