Finding the Third Proportional to 100,713 and 141,172

Step by Step Solution

1. Step 1: Write the proportion equation
   100,713 : 141,172 = 141,172 : x
2. Step 2: Convert to fraction form
   100,713/141,172 = 141,172/x
3. Step 3: Cross multiply
   100,713x = 141,172 × 141,172
4. Step 4: Simplify right side
   100,713x = 19,929,533,584
5. Step 5: Solve for x
   x = 19,929,533,584/100,713
6. Step 6: Final answer
   x = 197,884.42