Finding the Third Proportional to 118,230 and 257,196

Step by Step Solution

1. Step 1: Write the proportion equation
   118,230 : 257,196 = 257,196 : x
2. Step 2: Convert to fraction form
   118,230/257,196 = 257,196/x
3. Step 3: Cross multiply
   118,230x = 257,196 × 257,196
4. Step 4: Simplify right side
   118,230x = 66,149,782,416
5. Step 5: Solve for x
   x = 66,149,782,416/118,230
6. Step 6: Final answer
   x = 559,500.82