Finding the Third Proportional to 89,776 and 189,272

Step by Step Solution

1. Step 1: Write the proportion equation
   89,776 : 189,272 = 189,272 : x
2. Step 2: Convert to fraction form
   89,776/189,272 = 189,272/x
3. Step 3: Cross multiply
   89,776x = 189,272 × 189,272
4. Step 4: Simplify right side
   89,776x = 35,823,889,984
5. Step 5: Solve for x
   x = 35,823,889,984/89,776
6. Step 6: Final answer
   x = 399,036.38