Finding the Third Proportional to 96,154 and 210,404

Step by Step Solution

1. Step 1: Write the proportion equation
   96,154 : 210,404 = 210,404 : x
2. Step 2: Convert to fraction form
   96,154/210,404 = 210,404/x
3. Step 3: Cross multiply
   96,154x = 210,404 × 210,404
4. Step 4: Simplify right side
   96,154x = 44,269,843,216
5. Step 5: Solve for x
   x = 44,269,843,216/96,154
6. Step 6: Final answer
   x = 460,405.63