Finding the Third Proportional to 164,062 and 257,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,062 : 257,029.50 = 257,029.50 : x
2. Step 2: Convert to fraction form
   164,062/257,029.50 = 257,029.50/x
3. Step 3: Cross multiply
   164,062x = 257,029.50 × 257,029.50
4. Step 4: Simplify right side
   164,062x = 66,064,163,870.25
5. Step 5: Solve for x
   x = 66,064,163,870.25/164,062
6. Step 6: Final answer
   x = 402,678.04