Finding the Third Proportional to 42,546 and 93,786

Step by Step Solution

1. Step 1: Write the proportion equation
   42,546 : 93,786 = 93,786 : x
2. Step 2: Convert to fraction form
   42,546/93,786 = 93,786/x
3. Step 3: Cross multiply
   42,546x = 93,786 × 93,786
4. Step 4: Simplify right side
   42,546x = 8,795,813,796
5. Step 5: Solve for x
   x = 8,795,813,796/42,546
6. Step 6: Final answer
   x = 206,736.56