Finding the Third Proportional to 111,642.50 and 146,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,642.50 : 146,011.50 = 146,011.50 : x
2. Step 2: Convert to fraction form
   111,642.50/146,011.50 = 146,011.50/x
3. Step 3: Cross multiply
   111,642.50x = 146,011.50 × 146,011.50
4. Step 4: Simplify right side
   111,642.50x = 21,319,358,132.25
5. Step 5: Solve for x
   x = 21,319,358,132.25/111,642.50
6. Step 6: Final answer
   x = 190,960.95