Finding the Third Proportional to 43,219 and 89,438

Step by Step Solution

1. Step 1: Write the proportion equation
   43,219 : 89,438 = 89,438 : x
2. Step 2: Convert to fraction form
   43,219/89,438 = 89,438/x
3. Step 3: Cross multiply
   43,219x = 89,438 × 89,438
4. Step 4: Simplify right side
   43,219x = 7,999,155,844
5. Step 5: Solve for x
   x = 7,999,155,844/43,219
6. Step 6: Final answer
   x = 185,084.24