Finding the Third Proportional to 210,688 and 462,592

Step by Step Solution

1. Step 1: Write the proportion equation
   210,688 : 462,592 = 462,592 : x
2. Step 2: Convert to fraction form
   210,688/462,592 = 462,592/x
3. Step 3: Cross multiply
   210,688x = 462,592 × 462,592
4. Step 4: Simplify right side
   210,688x = 213,991,358,464
5. Step 5: Solve for x
   x = 213,991,358,464/210,688
6. Step 6: Final answer
   x = 1,015,678.91