Finding the Third Proportional to 200,580 and 427,152

Step by Step Solution

1. Step 1: Write the proportion equation
   200,580 : 427,152 = 427,152 : x
2. Step 2: Convert to fraction form
   200,580/427,152 = 427,152/x
3. Step 3: Cross multiply
   200,580x = 427,152 × 427,152
4. Step 4: Simplify right side
   200,580x = 182,458,831,104
5. Step 5: Solve for x
   x = 182,458,831,104/200,580
6. Step 6: Final answer
   x = 909,656.15