Finding the Third Proportional to 46,368 and 101,754

Step by Step Solution

1. Step 1: Write the proportion equation
   46,368 : 101,754 = 101,754 : x
2. Step 2: Convert to fraction form
   46,368/101,754 = 101,754/x
3. Step 3: Cross multiply
   46,368x = 101,754 × 101,754
4. Step 4: Simplify right side
   46,368x = 10,353,876,516
5. Step 5: Solve for x
   x = 10,353,876,516/46,368
6. Step 6: Final answer
   x = 223,297.89