Finding the Third Proportional to 42,333 and 92,538

Step by Step Solution

1. Step 1: Write the proportion equation
   42,333 : 92,538 = 92,538 : x
2. Step 2: Convert to fraction form
   42,333/92,538 = 92,538/x
3. Step 3: Cross multiply
   42,333x = 92,538 × 92,538
4. Step 4: Simplify right side
   42,333x = 8,563,281,444
5. Step 5: Solve for x
   x = 8,563,281,444/42,333
6. Step 6: Final answer
   x = 202,283.83