Finding the Third Proportional to 52,259.50 and 114,527

Step by Step Solution

1. Step 1: Write the proportion equation
   52,259.50 : 114,527 = 114,527 : x
2. Step 2: Convert to fraction form
   52,259.50/114,527 = 114,527/x
3. Step 3: Cross multiply
   52,259.50x = 114,527 × 114,527
4. Step 4: Simplify right side
   52,259.50x = 13,116,433,729
5. Step 5: Solve for x
   x = 13,116,433,729/52,259.50
6. Step 6: Final answer
   x = 250,986.59