Finding the Third Proportional to 55,930.50 and 109,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,930.50 : 109,024.50 = 109,024.50 : x
2. Step 2: Convert to fraction form
   55,930.50/109,024.50 = 109,024.50/x
3. Step 3: Cross multiply
   55,930.50x = 109,024.50 × 109,024.50
4. Step 4: Simplify right side
   55,930.50x = 11,886,341,600.25
5. Step 5: Solve for x
   x = 11,886,341,600.25/55,930.50
6. Step 6: Final answer
   x = 212,519.85