Finding the Third Proportional to 138,276 and 298,696

Step by Step Solution

1. Step 1: Write the proportion equation
   138,276 : 298,696 = 298,696 : x
2. Step 2: Convert to fraction form
   138,276/298,696 = 298,696/x
3. Step 3: Cross multiply
   138,276x = 298,696 × 298,696
4. Step 4: Simplify right side
   138,276x = 89,219,300,416
5. Step 5: Solve for x
   x = 89,219,300,416/138,276
6. Step 6: Final answer
   x = 645,226.22