Finding the Third Proportional to 210,548 and 460,460

Step by Step Solution

1. Step 1: Write the proportion equation
   210,548 : 460,460 = 460,460 : x
2. Step 2: Convert to fraction form
   210,548/460,460 = 460,460/x
3. Step 3: Cross multiply
   210,548x = 460,460 × 460,460
4. Step 4: Simplify right side
   210,548x = 212,023,411,600
5. Step 5: Solve for x
   x = 212,023,411,600/210,548
6. Step 6: Final answer
   x = 1,007,007.48