Finding the Third Proportional to 297,976.50 and 382,599

Step by Step Solution

1. Step 1: Write the proportion equation
   297,976.50 : 382,599 = 382,599 : x
2. Step 2: Convert to fraction form
   297,976.50/382,599 = 382,599/x
3. Step 3: Cross multiply
   297,976.50x = 382,599 × 382,599
4. Step 4: Simplify right side
   297,976.50x = 146,381,994,801
5. Step 5: Solve for x
   x = 146,381,994,801/297,976.50
6. Step 6: Final answer
   x = 491,253.49