Finding the Third Proportional to 87,623 and 137,274

Step by Step Solution

1. Step 1: Write the proportion equation
   87,623 : 137,274 = 137,274 : x
2. Step 2: Convert to fraction form
   87,623/137,274 = 137,274/x
3. Step 3: Cross multiply
   87,623x = 137,274 × 137,274
4. Step 4: Simplify right side
   87,623x = 18,844,151,076
5. Step 5: Solve for x
   x = 18,844,151,076/87,623
6. Step 6: Final answer
   x = 215,059.41