Finding the Third Proportional to 164,082 and 257,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,082 : 257,044.50 = 257,044.50 : x
2. Step 2: Convert to fraction form
   164,082/257,044.50 = 257,044.50/x
3. Step 3: Cross multiply
   164,082x = 257,044.50 × 257,044.50
4. Step 4: Simplify right side
   164,082x = 66,071,874,980.25
5. Step 5: Solve for x
   x = 66,071,874,980.25/164,082
6. Step 6: Final answer
   x = 402,675.95