Finding the Third Proportional to 96,140 and 206,152

Step by Step Solution

1. Step 1: Write the proportion equation
   96,140 : 206,152 = 206,152 : x
2. Step 2: Convert to fraction form
   96,140/206,152 = 206,152/x
3. Step 3: Cross multiply
   96,140x = 206,152 × 206,152
4. Step 4: Simplify right side
   96,140x = 42,498,647,104
5. Step 5: Solve for x
   x = 42,498,647,104/96,140
6. Step 6: Final answer
   x = 442,049.59