Finding the Third Proportional to 409,819.50 and 610,522.31

Step by Step Solution

1. Step 1: Write the proportion equation
   409,819.50 : 610,522.31 = 610,522.31 : x
2. Step 2: Convert to fraction form
   409,819.50/610,522.31 = 610,522.31/x
3. Step 3: Cross multiply
   409,819.50x = 610,522.31 × 610,522.31
4. Step 4: Simplify right side
   409,819.50x = 372,737,494,060.35
5. Step 5: Solve for x
   x = 372,737,494,060.35/409,819.50
6. Step 6: Final answer
   x = 909,516.25