Finding the Third Proportional to 128,216.50 and 183,075.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,216.50 : 183,075.25 = 183,075.25 : x
2. Step 2: Convert to fraction form
   128,216.50/183,075.25 = 183,075.25/x
3. Step 3: Cross multiply
   128,216.50x = 183,075.25 × 183,075.25
4. Step 4: Simplify right side
   128,216.50x = 33,516,547,162.56
5. Step 5: Solve for x
   x = 33,516,547,162.56/128,216.50
6. Step 6: Final answer
   x = 261,405.88