Finding the Third Proportional to 214,083 and 333,380

Step by Step Solution

1. Step 1: Write the proportion equation
   214,083 : 333,380 = 333,380 : x
2. Step 2: Convert to fraction form
   214,083/333,380 = 333,380/x
3. Step 3: Cross multiply
   214,083x = 333,380 × 333,380
4. Step 4: Simplify right side
   214,083x = 111,142,224,400
5. Step 5: Solve for x
   x = 111,142,224,400/214,083
6. Step 6: Final answer
   x = 519,154.83