Finding the Third Proportional to 111,172.50 and 163,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,172.50 : 163,822.50 = 163,822.50 : x
2. Step 2: Convert to fraction form
   111,172.50/163,822.50 = 163,822.50/x
3. Step 3: Cross multiply
   111,172.50x = 163,822.50 × 163,822.50
4. Step 4: Simplify right side
   111,172.50x = 26,837,811,506.25
5. Step 5: Solve for x
   x = 26,837,811,506.25/111,172.50
6. Step 6: Final answer
   x = 241,406.93