Finding the Third Proportional to 114,615 and 177,116.06

Step by Step Solution

1. Step 1: Write the proportion equation
   114,615 : 177,116.06 = 177,116.06 : x
2. Step 2: Convert to fraction form
   114,615/177,116.06 = 177,116.06/x
3. Step 3: Cross multiply
   114,615x = 177,116.06 × 177,116.06
4. Step 4: Simplify right side
   114,615x = 31,370,099,595.50
5. Step 5: Solve for x
   x = 31,370,099,595.50/114,615
6. Step 6: Final answer
   x = 273,699.77