Finding the Third Proportional to 46,699 and 102,470

Step by Step Solution

1. Step 1: Write the proportion equation
   46,699 : 102,470 = 102,470 : x
2. Step 2: Convert to fraction form
   46,699/102,470 = 102,470/x
3. Step 3: Cross multiply
   46,699x = 102,470 × 102,470
4. Step 4: Simplify right side
   46,699x = 10,500,100,900
5. Step 5: Solve for x
   x = 10,500,100,900/46,699
6. Step 6: Final answer
   x = 224,846.38