Finding the Third Proportional to 57,663 and 118,196

Step by Step Solution

1. Step 1: Write the proportion equation
   57,663 : 118,196 = 118,196 : x
2. Step 2: Convert to fraction form
   57,663/118,196 = 118,196/x
3. Step 3: Cross multiply
   57,663x = 118,196 × 118,196
4. Step 4: Simplify right side
   57,663x = 13,970,294,416
5. Step 5: Solve for x
   x = 13,970,294,416/57,663
6. Step 6: Final answer
   x = 242,274.85