Finding the Third Proportional to 114,549 and 174,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,549 : 174,781.50 = 174,781.50 : x
2. Step 2: Convert to fraction form
   114,549/174,781.50 = 174,781.50/x
3. Step 3: Cross multiply
   114,549x = 174,781.50 × 174,781.50
4. Step 4: Simplify right side
   114,549x = 30,548,572,742.25
5. Step 5: Solve for x
   x = 30,548,572,742.25/114,549
6. Step 6: Final answer
   x = 266,685.63