Finding the Third Proportional to 42,140 and 90,476

Step by Step Solution

1. Step 1: Write the proportion equation
   42,140 : 90,476 = 90,476 : x
2. Step 2: Convert to fraction form
   42,140/90,476 = 90,476/x
3. Step 3: Cross multiply
   42,140x = 90,476 × 90,476
4. Step 4: Simplify right side
   42,140x = 8,185,906,576
5. Step 5: Solve for x
   x = 8,185,906,576/42,140
6. Step 6: Final answer
   x = 194,255.02