Finding the Third Proportional to 112,041 and 177,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,041 : 177,496.50 = 177,496.50 : x
2. Step 2: Convert to fraction form
   112,041/177,496.50 = 177,496.50/x
3. Step 3: Cross multiply
   112,041x = 177,496.50 × 177,496.50
4. Step 4: Simplify right side
   112,041x = 31,505,007,512.25
5. Step 5: Solve for x
   x = 31,505,007,512.25/112,041
6. Step 6: Final answer
   x = 281,191.77