Finding the Third Proportional to 123,258 and 266,196

Step by Step Solution

1. Step 1: Write the proportion equation
   123,258 : 266,196 = 266,196 : x
2. Step 2: Convert to fraction form
   123,258/266,196 = 266,196/x
3. Step 3: Cross multiply
   123,258x = 266,196 × 266,196
4. Step 4: Simplify right side
   123,258x = 70,860,310,416
5. Step 5: Solve for x
   x = 70,860,310,416/123,258
6. Step 6: Final answer
   x = 574,894.21