Finding the Third Proportional to 42,090 and 90,738

Step by Step Solution

1. Step 1: Write the proportion equation
   42,090 : 90,738 = 90,738 : x
2. Step 2: Convert to fraction form
   42,090/90,738 = 90,738/x
3. Step 3: Cross multiply
   42,090x = 90,738 × 90,738
4. Step 4: Simplify right side
   42,090x = 8,233,384,644
5. Step 5: Solve for x
   x = 8,233,384,644/42,090
6. Step 6: Final answer
   x = 195,613.80