Finding the Third Proportional to 115,809 and 183,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,809 : 183,527.50 = 183,527.50 : x
2. Step 2: Convert to fraction form
   115,809/183,527.50 = 183,527.50/x
3. Step 3: Cross multiply
   115,809x = 183,527.50 × 183,527.50
4. Step 4: Simplify right side
   115,809x = 33,682,343,256.25
5. Step 5: Solve for x
   x = 33,682,343,256.25/115,809
6. Step 6: Final answer
   x = 290,843.92