Finding the Third Proportional to 87,470 and 137,513

Step by Step Solution

1. Step 1: Write the proportion equation
   87,470 : 137,513 = 137,513 : x
2. Step 2: Convert to fraction form
   87,470/137,513 = 137,513/x
3. Step 3: Cross multiply
   87,470x = 137,513 × 137,513
4. Step 4: Simplify right side
   87,470x = 18,909,825,169
5. Step 5: Solve for x
   x = 18,909,825,169/87,470
6. Step 6: Final answer
   x = 216,186.41