Finding the Third Proportional to 46,284 and 101,670

Step by Step Solution

1. Step 1: Write the proportion equation
   46,284 : 101,670 = 101,670 : x
2. Step 2: Convert to fraction form
   46,284/101,670 = 101,670/x
3. Step 3: Cross multiply
   46,284x = 101,670 × 101,670
4. Step 4: Simplify right side
   46,284x = 10,336,788,900
5. Step 5: Solve for x
   x = 10,336,788,900/46,284
6. Step 6: Final answer
   x = 223,333.96