Finding the Third Proportional to 169,314 and 253,146

Step by Step Solution

1. Step 1: Write the proportion equation
   169,314 : 253,146 = 253,146 : x
2. Step 2: Convert to fraction form
   169,314/253,146 = 253,146/x
3. Step 3: Cross multiply
   169,314x = 253,146 × 253,146
4. Step 4: Simplify right side
   169,314x = 64,082,897,316
5. Step 5: Solve for x
   x = 64,082,897,316/169,314
6. Step 6: Final answer
   x = 378,485.52