Finding the Third Proportional to 138,178 and 297,496

Step by Step Solution

1. Step 1: Write the proportion equation
   138,178 : 297,496 = 297,496 : x
2. Step 2: Convert to fraction form
   138,178/297,496 = 297,496/x
3. Step 3: Cross multiply
   138,178x = 297,496 × 297,496
4. Step 4: Simplify right side
   138,178x = 88,503,870,016
5. Step 5: Solve for x
   x = 88,503,870,016/138,178
6. Step 6: Final answer
   x = 640,506.23