Finding the Third Proportional to 83,673 and 127,470

Step by Step Solution

1. Step 1: Write the proportion equation
   83,673 : 127,470 = 127,470 : x
2. Step 2: Convert to fraction form
   83,673/127,470 = 127,470/x
3. Step 3: Cross multiply
   83,673x = 127,470 × 127,470
4. Step 4: Simplify right side
   83,673x = 16,248,600,900
5. Step 5: Solve for x
   x = 16,248,600,900/83,673
6. Step 6: Final answer
   x = 194,191.69