Finding the Third Proportional to 46,141 and 100,898

Step by Step Solution

1. Step 1: Write the proportion equation
   46,141 : 100,898 = 100,898 : x
2. Step 2: Convert to fraction form
   46,141/100,898 = 100,898/x
3. Step 3: Cross multiply
   46,141x = 100,898 × 100,898
4. Step 4: Simplify right side
   46,141x = 10,180,406,404
5. Step 5: Solve for x
   x = 10,180,406,404/46,141
6. Step 6: Final answer
   x = 220,636.88