Finding the Third Proportional to 166,286 and 253,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,286 : 253,580.50 = 253,580.50 : x
2. Step 2: Convert to fraction form
   166,286/253,580.50 = 253,580.50/x
3. Step 3: Cross multiply
   166,286x = 253,580.50 × 253,580.50
4. Step 4: Simplify right side
   166,286x = 64,303,069,980.25
5. Step 5: Solve for x
   x = 64,303,069,980.25/166,286
6. Step 6: Final answer
   x = 386,701.65