Finding the Third Proportional to 139,774.50 and 186,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,774.50 : 186,223.50 = 186,223.50 : x
2. Step 2: Convert to fraction form
   139,774.50/186,223.50 = 186,223.50/x
3. Step 3: Cross multiply
   139,774.50x = 186,223.50 × 186,223.50
4. Step 4: Simplify right side
   139,774.50x = 34,679,191,952.25
5. Step 5: Solve for x
   x = 34,679,191,952.25/139,774.50
6. Step 6: Final answer
   x = 248,108.15