Finding the Third Proportional to 111,603 and 174,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,603 : 174,172.50 = 174,172.50 : x
2. Step 2: Convert to fraction form
   111,603/174,172.50 = 174,172.50/x
3. Step 3: Cross multiply
   111,603x = 174,172.50 × 174,172.50
4. Step 4: Simplify right side
   111,603x = 30,336,059,756.25
5. Step 5: Solve for x
   x = 30,336,059,756.25/111,603
6. Step 6: Final answer
   x = 271,821.19