Finding the Third Proportional to 54,327 and 114,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,327 : 114,553.50 = 114,553.50 : x
2. Step 2: Convert to fraction form
   54,327/114,553.50 = 114,553.50/x
3. Step 3: Cross multiply
   54,327x = 114,553.50 × 114,553.50
4. Step 4: Simplify right side
   54,327x = 13,122,504,362.25
5. Step 5: Solve for x
   x = 13,122,504,362.25/54,327
6. Step 6: Final answer
   x = 241,546.64