Finding the Third Proportional to 212,008.50 and 460,827

Step by Step Solution

1. Step 1: Write the proportion equation
   212,008.50 : 460,827 = 460,827 : x
2. Step 2: Convert to fraction form
   212,008.50/460,827 = 460,827/x
3. Step 3: Cross multiply
   212,008.50x = 460,827 × 460,827
4. Step 4: Simplify right side
   212,008.50x = 212,361,523,929
5. Step 5: Solve for x
   x = 212,361,523,929/212,008.50
6. Step 6: Final answer
   x = 1,001,665.14