Finding the Third Proportional to 283,497 and 456,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   283,497 : 456,784.50 = 456,784.50 : x
2. Step 2: Convert to fraction form
   283,497/456,784.50 = 456,784.50/x
3. Step 3: Cross multiply
   283,497x = 456,784.50 × 456,784.50
4. Step 4: Simplify right side
   283,497x = 208,652,079,440.25
5. Step 5: Solve for x
   x = 208,652,079,440.25/283,497
6. Step 6: Final answer
   x = 735,993.96