Finding the Third Proportional to 42,086 and 90,731

Step by Step Solution

1. Step 1: Write the proportion equation
   42,086 : 90,731 = 90,731 : x
2. Step 2: Convert to fraction form
   42,086/90,731 = 90,731/x
3. Step 3: Cross multiply
   42,086x = 90,731 × 90,731
4. Step 4: Simplify right side
   42,086x = 8,232,114,361
5. Step 5: Solve for x
   x = 8,232,114,361/42,086
6. Step 6: Final answer
   x = 195,602.20