Finding the Third Proportional to 55,782 and 122,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,782 : 122,683.50 = 122,683.50 : x
2. Step 2: Convert to fraction form
   55,782/122,683.50 = 122,683.50/x
3. Step 3: Cross multiply
   55,782x = 122,683.50 × 122,683.50
4. Step 4: Simplify right side
   55,782x = 15,051,241,172.25
5. Step 5: Solve for x
   x = 15,051,241,172.25/55,782
6. Step 6: Final answer
   x = 269,822.54