Finding the Third Proportional to 81,900 and 146,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,900 : 146,749.50 = 146,749.50 : x
2. Step 2: Convert to fraction form
   81,900/146,749.50 = 146,749.50/x
3. Step 3: Cross multiply
   81,900x = 146,749.50 × 146,749.50
4. Step 4: Simplify right side
   81,900x = 21,535,415,750.25
5. Step 5: Solve for x
   x = 21,535,415,750.25/81,900
6. Step 6: Final answer
   x = 262,947.69