Finding the Third Proportional to 81,906 and 146,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,906 : 146,761.50 = 146,761.50 : x
2. Step 2: Convert to fraction form
   81,906/146,761.50 = 146,761.50/x
3. Step 3: Cross multiply
   81,906x = 146,761.50 × 146,761.50
4. Step 4: Simplify right side
   81,906x = 21,538,937,882.25
5. Step 5: Solve for x
   x = 21,538,937,882.25/81,906
6. Step 6: Final answer
   x = 262,971.43