Finding the Third Proportional to 111,025.50 and 164,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,025.50 : 164,623.50 = 164,623.50 : x
2. Step 2: Convert to fraction form
   111,025.50/164,623.50 = 164,623.50/x
3. Step 3: Cross multiply
   111,025.50x = 164,623.50 × 164,623.50
4. Step 4: Simplify right side
   111,025.50x = 27,100,896,752.25
5. Step 5: Solve for x
   x = 27,100,896,752.25/111,025.50
6. Step 6: Final answer
   x = 244,096.15