Finding the Third Proportional to 213,310 and 456,145

Step by Step Solution

1. Step 1: Write the proportion equation
   213,310 : 456,145 = 456,145 : x
2. Step 2: Convert to fraction form
   213,310/456,145 = 456,145/x
3. Step 3: Cross multiply
   213,310x = 456,145 × 456,145
4. Step 4: Simplify right side
   213,310x = 208,068,261,025
5. Step 5: Solve for x
   x = 208,068,261,025/213,310
6. Step 6: Final answer
   x = 975,426.66