Finding the Third Proportional to 81,570 and 120,838

Step by Step Solution

1. Step 1: Write the proportion equation
   81,570 : 120,838 = 120,838 : x
2. Step 2: Convert to fraction form
   81,570/120,838 = 120,838/x
3. Step 3: Cross multiply
   81,570x = 120,838 × 120,838
4. Step 4: Simplify right side
   81,570x = 14,601,822,244
5. Step 5: Solve for x
   x = 14,601,822,244/81,570
6. Step 6: Final answer
   x = 179,009.71