Finding the Third Proportional to 109,642.50 and 160,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,642.50 : 160,573.50 = 160,573.50 : x
2. Step 2: Convert to fraction form
   109,642.50/160,573.50 = 160,573.50/x
3. Step 3: Cross multiply
   109,642.50x = 160,573.50 × 160,573.50
4. Step 4: Simplify right side
   109,642.50x = 25,783,848,902.25
5. Step 5: Solve for x
   x = 25,783,848,902.25/109,642.50
6. Step 6: Final answer
   x = 235,162.91