Finding the Third Proportional to 111,301 and 172,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,301 : 172,448.50 = 172,448.50 : x
2. Step 2: Convert to fraction form
   111,301/172,448.50 = 172,448.50/x
3. Step 3: Cross multiply
   111,301x = 172,448.50 × 172,448.50
4. Step 4: Simplify right side
   111,301x = 29,738,485,152.25
5. Step 5: Solve for x
   x = 29,738,485,152.25/111,301
6. Step 6: Final answer
   x = 267,189.74