Finding the Third Proportional to 86,195,141,343 and 201,390,743,048

Step by Step Solution

1. Step 1: Write the proportion equation
   86,195,141,343 : 201,390,743,048 = 201,390,743,048 : x
2. Step 2: Convert to fraction form
   86,195,141,343/201,390,743,048 = 201,390,743,048/x
3. Step 3: Cross multiply
   86,195,141,343x = 201,390,743,048 × 201,390,743,048
4. Step 4: Simplify right side
   86,195,141,343x = 40,558,231,385,425,557,061,632
5. Step 5: Solve for x
   x = 40,558,231,385,425,557,061,632/86,195,141,343
6. Step 6: Final answer
   x = 470,539,647,055.40