Finding the Third Proportional to 213,300 and 459,114

Step by Step Solution

1. Step 1: Write the proportion equation
   213,300 : 459,114 = 459,114 : x
2. Step 2: Convert to fraction form
   213,300/459,114 = 459,114/x
3. Step 3: Cross multiply
   213,300x = 459,114 × 459,114
4. Step 4: Simplify right side
   213,300x = 210,785,664,996
5. Step 5: Solve for x
   x = 210,785,664,996/213,300
6. Step 6: Final answer
   x = 988,212.21