Finding the Third Proportional to 89,219 and 185,838

Step by Step Solution

1. Step 1: Write the proportion equation
   89,219 : 185,838 = 185,838 : x
2. Step 2: Convert to fraction form
   89,219/185,838 = 185,838/x
3. Step 3: Cross multiply
   89,219x = 185,838 × 185,838
4. Step 4: Simplify right side
   89,219x = 34,535,762,244
5. Step 5: Solve for x
   x = 34,535,762,244/89,219
6. Step 6: Final answer
   x = 387,089.77