Finding the Third Proportional to 52,686 and 114,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,686 : 114,301.50 = 114,301.50 : x
2. Step 2: Convert to fraction form
   52,686/114,301.50 = 114,301.50/x
3. Step 3: Cross multiply
   52,686x = 114,301.50 × 114,301.50
4. Step 4: Simplify right side
   52,686x = 13,064,832,902.25
5. Step 5: Solve for x
   x = 13,064,832,902.25/52,686
6. Step 6: Final answer
   x = 247,975.42