Finding the Third Proportional to 116,685 and 176,100.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116,685 : 176,100.75 = 176,100.75 : x
2. Step 2: Convert to fraction form
   116,685/176,100.75 = 176,100.75/x
3. Step 3: Cross multiply
   116,685x = 176,100.75 × 176,100.75
4. Step 4: Simplify right side
   116,685x = 31,011,474,150.56
5. Step 5: Solve for x
   x = 31,011,474,150.56/116,685
6. Step 6: Final answer
   x = 265,770.87