Finding the Third Proportional to 139,772 and 186,220.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,772 : 186,220.50 = 186,220.50 : x
2. Step 2: Convert to fraction form
   139,772/186,220.50 = 186,220.50/x
3. Step 3: Cross multiply
   139,772x = 186,220.50 × 186,220.50
4. Step 4: Simplify right side
   139,772x = 34,678,074,620.25
5. Step 5: Solve for x
   x = 34,678,074,620.25/139,772
6. Step 6: Final answer
   x = 248,104.59