Finding the Third Proportional to 210,826 and 460,972

Step by Step Solution

1. Step 1: Write the proportion equation
   210,826 : 460,972 = 460,972 : x
2. Step 2: Convert to fraction form
   210,826/460,972 = 460,972/x
3. Step 3: Cross multiply
   210,826x = 460,972 × 460,972
4. Step 4: Simplify right side
   210,826x = 212,495,184,784
5. Step 5: Solve for x
   x = 212,495,184,784/210,826
6. Step 6: Final answer
   x = 1,007,917.36