Finding the Third Proportional to 190,787.50 and 414,353

Step by Step Solution

1. Step 1: Write the proportion equation
   190,787.50 : 414,353 = 414,353 : x
2. Step 2: Convert to fraction form
   190,787.50/414,353 = 414,353/x
3. Step 3: Cross multiply
   190,787.50x = 414,353 × 414,353
4. Step 4: Simplify right side
   190,787.50x = 171,688,408,609
5. Step 5: Solve for x
   x = 171,688,408,609/190,787.50
6. Step 6: Final answer
   x = 899,893.38