Finding the Third Proportional to 81,894 and 146,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,894 : 146,737.50 = 146,737.50 : x
2. Step 2: Convert to fraction form
   81,894/146,737.50 = 146,737.50/x
3. Step 3: Cross multiply
   81,894x = 146,737.50 × 146,737.50
4. Step 4: Simplify right side
   81,894x = 21,531,893,906.25
5. Step 5: Solve for x
   x = 21,531,893,906.25/81,894
6. Step 6: Final answer
   x = 262,923.95