Finding the Third Proportional to 55,684 and 116,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,684 : 116,835.50 = 116,835.50 : x
2. Step 2: Convert to fraction form
   55,684/116,835.50 = 116,835.50/x
3. Step 3: Cross multiply
   55,684x = 116,835.50 × 116,835.50
4. Step 4: Simplify right side
   55,684x = 13,650,534,060.25
5. Step 5: Solve for x
   x = 13,650,534,060.25/55,684
6. Step 6: Final answer
   x = 245,142.84