Finding the Third Proportional to 166,834 and 359,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,834 : 359,912.50 = 359,912.50 : x
2. Step 2: Convert to fraction form
   166,834/359,912.50 = 359,912.50/x
3. Step 3: Cross multiply
   166,834x = 359,912.50 × 359,912.50
4. Step 4: Simplify right side
   166,834x = 129,537,007,656.25
5. Step 5: Solve for x
   x = 129,537,007,656.25/166,834
6. Step 6: Final answer
   x = 776,442.50