Finding the Third Proportional to 138,267 and 297,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,267 : 297,553.50 = 297,553.50 : x
2. Step 2: Convert to fraction form
   138,267/297,553.50 = 297,553.50/x
3. Step 3: Cross multiply
   138,267x = 297,553.50 × 297,553.50
4. Step 4: Simplify right side
   138,267x = 88,538,085,362.25
5. Step 5: Solve for x
   x = 88,538,085,362.25/138,267
6. Step 6: Final answer
   x = 640,341.41