Finding the Third Proportional to 54,789 and 116,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,789 : 116,638.50 = 116,638.50 : x
2. Step 2: Convert to fraction form
   54,789/116,638.50 = 116,638.50/x
3. Step 3: Cross multiply
   54,789x = 116,638.50 × 116,638.50
4. Step 4: Simplify right side
   54,789x = 13,604,539,682.25
5. Step 5: Solve for x
   x = 13,604,539,682.25/54,789
6. Step 6: Final answer
   x = 248,307.87