Finding the Third Proportional to 210,380 and 456,428

Step by Step Solution

1. Step 1: Write the proportion equation
   210,380 : 456,428 = 456,428 : x
2. Step 2: Convert to fraction form
   210,380/456,428 = 456,428/x
3. Step 3: Cross multiply
   210,380x = 456,428 × 456,428
4. Step 4: Simplify right side
   210,380x = 208,326,519,184
5. Step 5: Solve for x
   x = 208,326,519,184/210,380
6. Step 6: Final answer
   x = 990,239.18