Finding the Third Proportional to 53,781 and 116,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,781 : 116,989.50 = 116,989.50 : x
2. Step 2: Convert to fraction form
   53,781/116,989.50 = 116,989.50/x
3. Step 3: Cross multiply
   53,781x = 116,989.50 × 116,989.50
4. Step 4: Simplify right side
   53,781x = 13,686,543,110.25
5. Step 5: Solve for x
   x = 13,686,543,110.25/53,781
6. Step 6: Final answer
   x = 254,486.59