Finding the Third Proportional to 138,532 and 298,936

Step by Step Solution

1. Step 1: Write the proportion equation
   138,532 : 298,936 = 298,936 : x
2. Step 2: Convert to fraction form
   138,532/298,936 = 298,936/x
3. Step 3: Cross multiply
   138,532x = 298,936 × 298,936
4. Step 4: Simplify right side
   138,532x = 89,362,732,096
5. Step 5: Solve for x
   x = 89,362,732,096/138,532
6. Step 6: Final answer
   x = 645,069.24