Finding the Third Proportional to 42,090 and 89,370

Step by Step Solution

1. Step 1: Write the proportion equation
   42,090 : 89,370 = 89,370 : x
2. Step 2: Convert to fraction form
   42,090/89,370 = 89,370/x
3. Step 3: Cross multiply
   42,090x = 89,370 × 89,370
4. Step 4: Simplify right side
   42,090x = 7,986,996,900
5. Step 5: Solve for x
   x = 7,986,996,900/42,090
6. Step 6: Final answer
   x = 189,759.96