Finding the Third Proportional to 419,947.50 and 646,359

Step by Step Solution

1. Step 1: Write the proportion equation
   419,947.50 : 646,359 = 646,359 : x
2. Step 2: Convert to fraction form
   419,947.50/646,359 = 646,359/x
3. Step 3: Cross multiply
   419,947.50x = 646,359 × 646,359
4. Step 4: Simplify right side
   419,947.50x = 417,779,956,881
5. Step 5: Solve for x
   x = 417,779,956,881/419,947.50
6. Step 6: Final answer
   x = 994,838.54