Finding the Third Proportional to 210,064 and 460,946

Step by Step Solution

1. Step 1: Write the proportion equation
   210,064 : 460,946 = 460,946 : x
2. Step 2: Convert to fraction form
   210,064/460,946 = 460,946/x
3. Step 3: Cross multiply
   210,064x = 460,946 × 460,946
4. Step 4: Simplify right side
   210,064x = 212,471,214,916
5. Step 5: Solve for x
   x = 212,471,214,916/210,064
6. Step 6: Final answer
   x = 1,011,459.44