Finding the Third Proportional to 138,523.50 and 298,917

Step by Step Solution

1. Step 1: Write the proportion equation
   138,523.50 : 298,917 = 298,917 : x
2. Step 2: Convert to fraction form
   138,523.50/298,917 = 298,917/x
3. Step 3: Cross multiply
   138,523.50x = 298,917 × 298,917
4. Step 4: Simplify right side
   138,523.50x = 89,351,372,889
5. Step 5: Solve for x
   x = 89,351,372,889/138,523.50
6. Step 6: Final answer
   x = 645,026.82