Finding the Third Proportional to 107,363,059,074 and 233,575,866,740

Step by Step Solution

1. Step 1: Write the proportion equation
   107,363,059,074 : 233,575,866,740 = 233,575,866,740 : x
2. Step 2: Convert to fraction form
   107,363,059,074/233,575,866,740 = 233,575,866,740/x
3. Step 3: Cross multiply
   107,363,059,074x = 233,575,866,740 × 233,575,866,740
4. Step 4: Simplify right side
   107,363,059,074x = 54,557,685,523,342,235,271,168
5. Step 5: Solve for x
   x = 54,557,685,523,342,235,271,168/107,363,059,074
6. Step 6: Final answer
   x = 508,160,683,887.91