Finding the Third Proportional to 87,648 and 189,090

Step by Step Solution

1. Step 1: Write the proportion equation
   87,648 : 189,090 = 189,090 : x
2. Step 2: Convert to fraction form
   87,648/189,090 = 189,090/x
3. Step 3: Cross multiply
   87,648x = 189,090 × 189,090
4. Step 4: Simplify right side
   87,648x = 35,755,028,100
5. Step 5: Solve for x
   x = 35,755,028,100/87,648
6. Step 6: Final answer
   x = 407,938.89