Finding the Third Proportional to 89,033 and 181,364

Step by Step Solution

1. Step 1: Write the proportion equation
   89,033 : 181,364 = 181,364 : x
2. Step 2: Convert to fraction form
   89,033/181,364 = 181,364/x
3. Step 3: Cross multiply
   89,033x = 181,364 × 181,364
4. Step 4: Simplify right side
   89,033x = 32,892,900,496
5. Step 5: Solve for x
   x = 32,892,900,496/89,033
6. Step 6: Final answer
   x = 369,446.17