Finding the Third Proportional to 166,526 and 253,960

Step by Step Solution

1. Step 1: Write the proportion equation
   166,526 : 253,960 = 253,960 : x
2. Step 2: Convert to fraction form
   166,526/253,960 = 253,960/x
3. Step 3: Cross multiply
   166,526x = 253,960 × 253,960
4. Step 4: Simplify right side
   166,526x = 64,495,681,600
5. Step 5: Solve for x
   x = 64,495,681,600/166,526
6. Step 6: Final answer
   x = 387,300.97