Finding the Third Proportional to 89,872 and 190,152

Step by Step Solution

1. Step 1: Write the proportion equation
   89,872 : 190,152 = 190,152 : x
2. Step 2: Convert to fraction form
   89,872/190,152 = 190,152/x
3. Step 3: Cross multiply
   89,872x = 190,152 × 190,152
4. Step 4: Simplify right side
   89,872x = 36,157,783,104
5. Step 5: Solve for x
   x = 36,157,783,104/89,872
6. Step 6: Final answer
   x = 402,325.34