Finding the Third Proportional to 164,599.50 and 384,606

Step by Step Solution

1. Step 1: Write the proportion equation
   164,599.50 : 384,606 = 384,606 : x
2. Step 2: Convert to fraction form
   164,599.50/384,606 = 384,606/x
3. Step 3: Cross multiply
   164,599.50x = 384,606 × 384,606
4. Step 4: Simplify right side
   164,599.50x = 147,921,775,236
5. Step 5: Solve for x
   x = 147,921,775,236/164,599.50
6. Step 6: Final answer
   x = 898,676.94