Finding the Third Proportional to 419,905 and 565,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,905 : 565,705.50 = 565,705.50 : x
2. Step 2: Convert to fraction form
   419,905/565,705.50 = 565,705.50/x
3. Step 3: Cross multiply
   419,905x = 565,705.50 × 565,705.50
4. Step 4: Simplify right side
   419,905x = 320,022,712,730.25
5. Step 5: Solve for x
   x = 320,022,712,730.25/419,905
6. Step 6: Final answer
   x = 762,131.23