Finding the Third Proportional to 42,804 and 91,143

Step by Step Solution

1. Step 1: Write the proportion equation
   42,804 : 91,143 = 91,143 : x
2. Step 2: Convert to fraction form
   42,804/91,143 = 91,143/x
3. Step 3: Cross multiply
   42,804x = 91,143 × 91,143
4. Step 4: Simplify right side
   42,804x = 8,307,046,449
5. Step 5: Solve for x
   x = 8,307,046,449/42,804
6. Step 6: Final answer
   x = 194,071.73