Finding the Third Proportional to 212,841 and 457,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,841 : 457,970.50 = 457,970.50 : x
2. Step 2: Convert to fraction form
   212,841/457,970.50 = 457,970.50/x
3. Step 3: Cross multiply
   212,841x = 457,970.50 × 457,970.50
4. Step 4: Simplify right side
   212,841x = 209,736,978,870.25
5. Step 5: Solve for x
   x = 209,736,978,870.25/212,841
6. Step 6: Final answer
   x = 985,416.24