Finding the Third Proportional to 53,181 and 109,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,181 : 109,093.50 = 109,093.50 : x
2. Step 2: Convert to fraction form
   53,181/109,093.50 = 109,093.50/x
3. Step 3: Cross multiply
   53,181x = 109,093.50 × 109,093.50
4. Step 4: Simplify right side
   53,181x = 11,901,391,742.25
5. Step 5: Solve for x
   x = 11,901,391,742.25/53,181
6. Step 6: Final answer
   x = 223,790.30