Finding the Third Proportional to 139,770 and 186,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,770 : 186,217.50 = 186,217.50 : x
2. Step 2: Convert to fraction form
   139,770/186,217.50 = 186,217.50/x
3. Step 3: Cross multiply
   139,770x = 186,217.50 × 186,217.50
4. Step 4: Simplify right side
   139,770x = 34,676,957,306.25
5. Step 5: Solve for x
   x = 34,676,957,306.25/139,770
6. Step 6: Final answer
   x = 248,100.15