Finding the Third Proportional to 89,536 and 191,364

Step by Step Solution

1. Step 1: Write the proportion equation
   89,536 : 191,364 = 191,364 : x
2. Step 2: Convert to fraction form
   89,536/191,364 = 191,364/x
3. Step 3: Cross multiply
   89,536x = 191,364 × 191,364
4. Step 4: Simplify right side
   89,536x = 36,620,180,496
5. Step 5: Solve for x
   x = 36,620,180,496/89,536
6. Step 6: Final answer
   x = 408,999.51