Finding the Third Proportional to 402,408 and 596,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   402,408 : 596,706.75 = 596,706.75 : x
2. Step 2: Convert to fraction form
   402,408/596,706.75 = 596,706.75/x
3. Step 3: Cross multiply
   402,408x = 596,706.75 × 596,706.75
4. Step 4: Simplify right side
   402,408x = 356,058,945,495.56
5. Step 5: Solve for x
   x = 356,058,945,495.56/402,408
6. Step 6: Final answer
   x = 884,820.74