Finding the Third Proportional to 42,588 and 93,816

Step by Step Solution

1. Step 1: Write the proportion equation
   42,588 : 93,816 = 93,816 : x
2. Step 2: Convert to fraction form
   42,588/93,816 = 93,816/x
3. Step 3: Cross multiply
   42,588x = 93,816 × 93,816
4. Step 4: Simplify right side
   42,588x = 8,801,441,856
5. Step 5: Solve for x
   x = 8,801,441,856/42,588
6. Step 6: Final answer
   x = 206,664.83