Finding the Third Proportional to 42,786 and 88,569

Step by Step Solution

1. Step 1: Write the proportion equation
   42,786 : 88,569 = 88,569 : x
2. Step 2: Convert to fraction form
   42,786/88,569 = 88,569/x
3. Step 3: Cross multiply
   42,786x = 88,569 × 88,569
4. Step 4: Simplify right side
   42,786x = 7,844,467,761
5. Step 5: Solve for x
   x = 7,844,467,761/42,786
6. Step 6: Final answer
   x = 183,341.93