Finding the Third Proportional to 117,404 and 176,662

Step by Step Solution

1. Step 1: Write the proportion equation
   117,404 : 176,662 = 176,662 : x
2. Step 2: Convert to fraction form
   117,404/176,662 = 176,662/x
3. Step 3: Cross multiply
   117,404x = 176,662 × 176,662
4. Step 4: Simplify right side
   117,404x = 31,209,462,244
5. Step 5: Solve for x
   x = 31,209,462,244/117,404
6. Step 6: Final answer
   x = 265,829.63