Finding the Third Proportional to 111,457 and 172,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,457 : 172,774.50 = 172,774.50 : x
2. Step 2: Convert to fraction form
   111,457/172,774.50 = 172,774.50/x
3. Step 3: Cross multiply
   111,457x = 172,774.50 × 172,774.50
4. Step 4: Simplify right side
   111,457x = 29,851,027,850.25
5. Step 5: Solve for x
   x = 29,851,027,850.25/111,457
6. Step 6: Final answer
   x = 267,825.51