Finding the Third Proportional to 111,011.50 and 164,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,011.50 : 164,802.50 = 164,802.50 : x
2. Step 2: Convert to fraction form
   111,011.50/164,802.50 = 164,802.50/x
3. Step 3: Cross multiply
   111,011.50x = 164,802.50 × 164,802.50
4. Step 4: Simplify right side
   111,011.50x = 27,159,864,006.25
5. Step 5: Solve for x
   x = 27,159,864,006.25/111,011.50
6. Step 6: Final answer
   x = 244,658.11