Finding the Third Proportional to 164,058.50 and 257,022

Step by Step Solution

1. Step 1: Write the proportion equation
   164,058.50 : 257,022 = 257,022 : x
2. Step 2: Convert to fraction form
   164,058.50/257,022 = 257,022/x
3. Step 3: Cross multiply
   164,058.50x = 257,022 × 257,022
4. Step 4: Simplify right side
   164,058.50x = 66,060,308,484
5. Step 5: Solve for x
   x = 66,060,308,484/164,058.50
6. Step 6: Final answer
   x = 402,663.13