Finding the Third Proportional to 114,075 and 266,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,075 : 266,527.50 = 266,527.50 : x
2. Step 2: Convert to fraction form
   114,075/266,527.50 = 266,527.50/x
3. Step 3: Cross multiply
   114,075x = 266,527.50 × 266,527.50
4. Step 4: Simplify right side
   114,075x = 71,036,908,256.25
5. Step 5: Solve for x
   x = 71,036,908,256.25/114,075
6. Step 6: Final answer
   x = 622,721.09