Finding the Third Proportional to 166,323 and 260,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,323 : 260,611.50 = 260,611.50 : x
2. Step 2: Convert to fraction form
   166,323/260,611.50 = 260,611.50/x
3. Step 3: Cross multiply
   166,323x = 260,611.50 × 260,611.50
4. Step 4: Simplify right side
   166,323x = 67,918,353,932.25
5. Step 5: Solve for x
   x = 67,918,353,932.25/166,323
6. Step 6: Final answer
   x = 408,352.15