Finding the Third Proportional to 89,737 and 188,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,737 : 188,769.50 = 188,769.50 : x
2. Step 2: Convert to fraction form
   89,737/188,769.50 = 188,769.50/x
3. Step 3: Cross multiply
   89,737x = 188,769.50 × 188,769.50
4. Step 4: Simplify right side
   89,737x = 35,633,924,130.25
5. Step 5: Solve for x
   x = 35,633,924,130.25/89,737
6. Step 6: Final answer
   x = 397,092.88