Finding the Third Proportional to 42,906 and 94,538

Step by Step Solution

1. Step 1: Write the proportion equation
   42,906 : 94,538 = 94,538 : x
2. Step 2: Convert to fraction form
   42,906/94,538 = 94,538/x
3. Step 3: Cross multiply
   42,906x = 94,538 × 94,538
4. Step 4: Simplify right side
   42,906x = 8,937,433,444
5. Step 5: Solve for x
   x = 8,937,433,444/42,906
6. Step 6: Final answer
   x = 208,302.65