Finding the Third Proportional to 114,548.50 and 174,781

Step by Step Solution

1. Step 1: Write the proportion equation
   114,548.50 : 174,781 = 174,781 : x
2. Step 2: Convert to fraction form
   114,548.50/174,781 = 174,781/x
3. Step 3: Cross multiply
   114,548.50x = 174,781 × 174,781
4. Step 4: Simplify right side
   114,548.50x = 30,548,397,961
5. Step 5: Solve for x
   x = 30,548,397,961/114,548.50
6. Step 6: Final answer
   x = 266,685.27