Finding the Third Proportional to 53,100 and 113,580

Step by Step Solution

1. Step 1: Write the proportion equation
   53,100 : 113,580 = 113,580 : x
2. Step 2: Convert to fraction form
   53,100/113,580 = 113,580/x
3. Step 3: Cross multiply
   53,100x = 113,580 × 113,580
4. Step 4: Simplify right side
   53,100x = 12,900,416,400
5. Step 5: Solve for x
   x = 12,900,416,400/53,100
6. Step 6: Final answer
   x = 242,945.69