Finding the Third Proportional to 42,538 and 93,258

Step by Step Solution

1. Step 1: Write the proportion equation
   42,538 : 93,258 = 93,258 : x
2. Step 2: Convert to fraction form
   42,538/93,258 = 93,258/x
3. Step 3: Cross multiply
   42,538x = 93,258 × 93,258
4. Step 4: Simplify right side
   42,538x = 8,697,054,564
5. Step 5: Solve for x
   x = 8,697,054,564/42,538
6. Step 6: Final answer
   x = 204,453.77