Finding the Third Proportional to 139,971 and 188,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,971 : 188,572.50 = 188,572.50 : x
2. Step 2: Convert to fraction form
   139,971/188,572.50 = 188,572.50/x
3. Step 3: Cross multiply
   139,971x = 188,572.50 × 188,572.50
4. Step 4: Simplify right side
   139,971x = 35,559,587,756.25
5. Step 5: Solve for x
   x = 35,559,587,756.25/139,971
6. Step 6: Final answer
   x = 254,049.68