Finding the Third Proportional to 101,362 and 215,846

Step by Step Solution

1. Step 1: Write the proportion equation
   101,362 : 215,846 = 215,846 : x
2. Step 2: Convert to fraction form
   101,362/215,846 = 215,846/x
3. Step 3: Cross multiply
   101,362x = 215,846 × 215,846
4. Step 4: Simplify right side
   101,362x = 46,589,495,716
5. Step 5: Solve for x
   x = 46,589,495,716/101,362
6. Step 6: Final answer
   x = 459,634.73