Finding the Third Proportional to 57,524 and 117,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,524 : 117,835.50 = 117,835.50 : x
2. Step 2: Convert to fraction form
   57,524/117,835.50 = 117,835.50/x
3. Step 3: Cross multiply
   57,524x = 117,835.50 × 117,835.50
4. Step 4: Simplify right side
   57,524x = 13,885,205,060.25
5. Step 5: Solve for x
   x = 13,885,205,060.25/57,524
6. Step 6: Final answer
   x = 241,381.08