Finding the Third Proportional to 186,264 and 281,196

Step by Step Solution

1. Step 1: Write the proportion equation
   186,264 : 281,196 = 281,196 : x
2. Step 2: Convert to fraction form
   186,264/281,196 = 281,196/x
3. Step 3: Cross multiply
   186,264x = 281,196 × 281,196
4. Step 4: Simplify right side
   186,264x = 79,071,190,416
5. Step 5: Solve for x
   x = 79,071,190,416/186,264
6. Step 6: Final answer
   x = 424,511.39