Finding the Third Proportional to 116,700 and 176,116

Step by Step Solution

1. Step 1: Write the proportion equation
   116,700 : 176,116 = 176,116 : x
2. Step 2: Convert to fraction form
   116,700/176,116 = 176,116/x
3. Step 3: Cross multiply
   116,700x = 176,116 × 176,116
4. Step 4: Simplify right side
   116,700x = 31,016,845,456
5. Step 5: Solve for x
   x = 31,016,845,456/116,700
6. Step 6: Final answer
   x = 265,782.74