Finding the Third Proportional to 188,580 and 412,152

Step by Step Solution

1. Step 1: Write the proportion equation
   188,580 : 412,152 = 412,152 : x
2. Step 2: Convert to fraction form
   188,580/412,152 = 412,152/x
3. Step 3: Cross multiply
   188,580x = 412,152 × 412,152
4. Step 4: Simplify right side
   188,580x = 169,869,271,104
5. Step 5: Solve for x
   x = 169,869,271,104/188,580
6. Step 6: Final answer
   x = 900,780.95