Finding the Third Proportional to 375,075 and 535,973.63

Step by Step Solution

1. Step 1: Write the proportion equation
   375,075 : 535,973.63 = 535,973.63 : x
2. Step 2: Convert to fraction form
   375,075/535,973.63 = 535,973.63/x
3. Step 3: Cross multiply
   375,075x = 535,973.63 × 535,973.63
4. Step 4: Simplify right side
   375,075x = 287,267,726,695.64
5. Step 5: Solve for x
   x = 287,267,726,695.64/375,075
6. Step 6: Final answer
   x = 765,894.09