Finding the Third Proportional to 214,370 and 465,632

Step by Step Solution

1. Step 1: Write the proportion equation
   214,370 : 465,632 = 465,632 : x
2. Step 2: Convert to fraction form
   214,370/465,632 = 465,632/x
3. Step 3: Cross multiply
   214,370x = 465,632 × 465,632
4. Step 4: Simplify right side
   214,370x = 216,813,159,424
5. Step 5: Solve for x
   x = 216,813,159,424/214,370
6. Step 6: Final answer
   x = 1,011,396.93