Finding the Third Proportional to 138,536.50 and 298,262

Step by Step Solution

1. Step 1: Write the proportion equation
   138,536.50 : 298,262 = 298,262 : x
2. Step 2: Convert to fraction form
   138,536.50/298,262 = 298,262/x
3. Step 3: Cross multiply
   138,536.50x = 298,262 × 298,262
4. Step 4: Simplify right side
   138,536.50x = 88,960,220,644
5. Step 5: Solve for x
   x = 88,960,220,644/138,536.50
6. Step 6: Final answer
   x = 642,142.83