Finding the Third Proportional to 42,298 and 91,889

Step by Step Solution

1. Step 1: Write the proportion equation
   42,298 : 91,889 = 91,889 : x
2. Step 2: Convert to fraction form
   42,298/91,889 = 91,889/x
3. Step 3: Cross multiply
   42,298x = 91,889 × 91,889
4. Step 4: Simplify right side
   42,298x = 8,443,588,321
5. Step 5: Solve for x
   x = 8,443,588,321/42,298
6. Step 6: Final answer
   x = 199,621.46