Finding the Third Proportional to 164,851.88 and 257,121

Step by Step Solution

1. Step 1: Write the proportion equation
   164,851.88 : 257,121 = 257,121 : x
2. Step 2: Convert to fraction form
   164,851.88/257,121 = 257,121/x
3. Step 3: Cross multiply
   164,851.88x = 257,121 × 257,121
4. Step 4: Simplify right side
   164,851.88x = 66,111,208,641
5. Step 5: Solve for x
   x = 66,111,208,641/164,851.88
6. Step 6: Final answer
   x = 401,034.01