Finding the Third Proportional to 42,390 and 89,046

Step by Step Solution

1. Step 1: Write the proportion equation
   42,390 : 89,046 = 89,046 : x
2. Step 2: Convert to fraction form
   42,390/89,046 = 89,046/x
3. Step 3: Cross multiply
   42,390x = 89,046 × 89,046
4. Step 4: Simplify right side
   42,390x = 7,929,190,116
5. Step 5: Solve for x
   x = 7,929,190,116/42,390
6. Step 6: Final answer
   x = 187,053.32