Finding the Third Proportional to 114,927 and 243,675.75

Step by Step Solution

1. Step 1: Write the proportion equation
   114,927 : 243,675.75 = 243,675.75 : x
2. Step 2: Convert to fraction form
   114,927/243,675.75 = 243,675.75/x
3. Step 3: Cross multiply
   114,927x = 243,675.75 × 243,675.75
4. Step 4: Simplify right side
   114,927x = 59,377,871,138.06
5. Step 5: Solve for x
   x = 59,377,871,138.06/114,927
6. Step 6: Final answer
   x = 516,657.28