Finding the Third Proportional to 114,591.38 and 174,853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   114,591.38 : 174,853.69 = 174,853.69 : x
2. Step 2: Convert to fraction form
   114,591.38/174,853.69 = 174,853.69/x
3. Step 3: Cross multiply
   114,591.38x = 174,853.69 × 174,853.69
4. Step 4: Simplify right side
   114,591.38x = 30,573,812,032.35
5. Step 5: Solve for x
   x = 30,573,812,032.35/114,591.38
6. Step 6: Final answer
   x = 266,807.27