Finding the Third Proportional to 111,109.50 and 155,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,109.50 : 155,539.50 = 155,539.50 : x
2. Step 2: Convert to fraction form
   111,109.50/155,539.50 = 155,539.50/x
3. Step 3: Cross multiply
   111,109.50x = 155,539.50 × 155,539.50
4. Step 4: Simplify right side
   111,109.50x = 24,192,536,060.25
5. Step 5: Solve for x
   x = 24,192,536,060.25/111,109.50
6. Step 6: Final answer
   x = 217,735.98