Finding the Third Proportional to 302,646 and 456,235.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,646 : 456,235.50 = 456,235.50 : x
2. Step 2: Convert to fraction form
   302,646/456,235.50 = 456,235.50/x
3. Step 3: Cross multiply
   302,646x = 456,235.50 × 456,235.50
4. Step 4: Simplify right side
   302,646x = 208,150,831,460.25
5. Step 5: Solve for x
   x = 208,150,831,460.25/302,646
6. Step 6: Final answer
   x = 687,769.97