Finding the Third Proportional to 212,314.50 and 464,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,314.50 : 464,008.50 = 464,008.50 : x
2. Step 2: Convert to fraction form
   212,314.50/464,008.50 = 464,008.50/x
3. Step 3: Cross multiply
   212,314.50x = 464,008.50 × 464,008.50
4. Step 4: Simplify right side
   212,314.50x = 215,303,888,072.25
5. Step 5: Solve for x
   x = 215,303,888,072.25/212,314.50
6. Step 6: Final answer
   x = 1,014,080.00