Finding the Third Proportional to 114,042 and 177,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,042 : 177,016.50 = 177,016.50 : x
2. Step 2: Convert to fraction form
   114,042/177,016.50 = 177,016.50/x
3. Step 3: Cross multiply
   114,042x = 177,016.50 × 177,016.50
4. Step 4: Simplify right side
   114,042x = 31,334,841,272.25
5. Step 5: Solve for x
   x = 31,334,841,272.25/114,042
6. Step 6: Final answer
   x = 274,765.80