Finding the Third Proportional to 164,082 and 253,123

Step by Step Solution

1. Step 1: Write the proportion equation
   164,082 : 253,123 = 253,123 : x
2. Step 2: Convert to fraction form
   164,082/253,123 = 253,123/x
3. Step 3: Cross multiply
   164,082x = 253,123 × 253,123
4. Step 4: Simplify right side
   164,082x = 64,071,253,129
5. Step 5: Solve for x
   x = 64,071,253,129/164,082
6. Step 6: Final answer
   x = 390,483.13