Finding the Third Proportional to 107,363,059,075 and 233,575,866,742

Step by Step Solution

1. Step 1: Write the proportion equation
   107,363,059,075 : 233,575,866,742 = 233,575,866,742 : x
2. Step 2: Convert to fraction form
   107,363,059,075/233,575,866,742 = 233,575,866,742/x
3. Step 3: Cross multiply
   107,363,059,075x = 233,575,866,742 × 233,575,866,742
4. Step 4: Simplify right side
   107,363,059,075x = 54,557,685,524,276,541,652,992
5. Step 5: Solve for x
   x = 54,557,685,524,276,541,652,992/107,363,059,075
6. Step 6: Final answer
   x = 508,160,683,891.88