Finding the Third Proportional to 89,776 and 185,390

Step by Step Solution

1. Step 1: Write the proportion equation
   89,776 : 185,390 = 185,390 : x
2. Step 2: Convert to fraction form
   89,776/185,390 = 185,390/x
3. Step 3: Cross multiply
   89,776x = 185,390 × 185,390
4. Step 4: Simplify right side
   89,776x = 34,369,452,100
5. Step 5: Solve for x
   x = 34,369,452,100/89,776
6. Step 6: Final answer
   x = 382,835.64