Finding the Third Proportional to 89,769 and 188,835

Step by Step Solution

1. Step 1: Write the proportion equation
   89,769 : 188,835 = 188,835 : x
2. Step 2: Convert to fraction form
   89,769/188,835 = 188,835/x
3. Step 3: Cross multiply
   89,769x = 188,835 × 188,835
4. Step 4: Simplify right side
   89,769x = 35,658,657,225
5. Step 5: Solve for x
   x = 35,658,657,225/89,769
6. Step 6: Final answer
   x = 397,226.85