Finding the Third Proportional to 43,205 and 88,563

Step by Step Solution

1. Step 1: Write the proportion equation
   43,205 : 88,563 = 88,563 : x
2. Step 2: Convert to fraction form
   43,205/88,563 = 88,563/x
3. Step 3: Cross multiply
   43,205x = 88,563 × 88,563
4. Step 4: Simplify right side
   43,205x = 7,843,404,969
5. Step 5: Solve for x
   x = 7,843,404,969/43,205
6. Step 6: Final answer
   x = 181,539.29