Finding the Third Proportional to 164,119.50 and 257,121

Step by Step Solution

1. Step 1: Write the proportion equation
   164,119.50 : 257,121 = 257,121 : x
2. Step 2: Convert to fraction form
   164,119.50/257,121 = 257,121/x
3. Step 3: Cross multiply
   164,119.50x = 257,121 × 257,121
4. Step 4: Simplify right side
   164,119.50x = 66,111,208,641
5. Step 5: Solve for x
   x = 66,111,208,641/164,119.50
6. Step 6: Final answer
   x = 402,823.61