Finding the Third Proportional to 329,436 and 492,678

Step by Step Solution

1. Step 1: Write the proportion equation
   329,436 : 492,678 = 492,678 : x
2. Step 2: Convert to fraction form
   329,436/492,678 = 492,678/x
3. Step 3: Cross multiply
   329,436x = 492,678 × 492,678
4. Step 4: Simplify right side
   329,436x = 242,731,611,684
5. Step 5: Solve for x
   x = 242,731,611,684/329,436
6. Step 6: Final answer
   x = 736,809.61