Finding the Third Proportional to 208,614 and 457,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,614 : 457,822.50 = 457,822.50 : x
2. Step 2: Convert to fraction form
   208,614/457,822.50 = 457,822.50/x
3. Step 3: Cross multiply
   208,614x = 457,822.50 × 457,822.50
4. Step 4: Simplify right side
   208,614x = 209,601,441,506.25
5. Step 5: Solve for x
   x = 209,601,441,506.25/208,614
6. Step 6: Final answer
   x = 1,004,733.34