Finding the Third Proportional to 52,009.50 and 106,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,009.50 : 106,483.50 = 106,483.50 : x
2. Step 2: Convert to fraction form
   52,009.50/106,483.50 = 106,483.50/x
3. Step 3: Cross multiply
   52,009.50x = 106,483.50 × 106,483.50
4. Step 4: Simplify right side
   52,009.50x = 11,338,735,772.25
5. Step 5: Solve for x
   x = 11,338,735,772.25/52,009.50
6. Step 6: Final answer
   x = 218,012.78