Finding the Third Proportional to 78,238 and 117,733

Step by Step Solution

1. Step 1: Write the proportion equation
   78,238 : 117,733 = 117,733 : x
2. Step 2: Convert to fraction form
   78,238/117,733 = 117,733/x
3. Step 3: Cross multiply
   78,238x = 117,733 × 117,733
4. Step 4: Simplify right side
   78,238x = 13,861,059,289
5. Step 5: Solve for x
   x = 13,861,059,289/78,238
6. Step 6: Final answer
   x = 177,165.31