Finding the Third Proportional to 214,364 and 465,620

Step by Step Solution

1. Step 1: Write the proportion equation
   214,364 : 465,620 = 465,620 : x
2. Step 2: Convert to fraction form
   214,364/465,620 = 465,620/x
3. Step 3: Cross multiply
   214,364x = 465,620 × 465,620
4. Step 4: Simplify right side
   214,364x = 216,801,984,400
5. Step 5: Solve for x
   x = 216,801,984,400/214,364
6. Step 6: Final answer
   x = 1,011,373.11