Finding the Third Proportional to 46,754 and 102,076

Step by Step Solution

1. Step 1: Write the proportion equation
   46,754 : 102,076 = 102,076 : x
2. Step 2: Convert to fraction form
   46,754/102,076 = 102,076/x
3. Step 3: Cross multiply
   46,754x = 102,076 × 102,076
4. Step 4: Simplify right side
   46,754x = 10,419,509,776
5. Step 5: Solve for x
   x = 10,419,509,776/46,754
6. Step 6: Final answer
   x = 222,858.15