Finding the Third Proportional to 32,323,181,531 and 75,521,536,878

Step by Step Solution

1. Step 1: Write the proportion equation
   32,323,181,531 : 75,521,536,878 = 75,521,536,878 : x
2. Step 2: Convert to fraction form
   32,323,181,531/75,521,536,878 = 75,521,536,878/x
3. Step 3: Cross multiply
   32,323,181,531x = 75,521,536,878 × 75,521,536,878
4. Step 4: Simplify right side
   32,323,181,531x = 5,703,502,532,415,114,444,800
5. Step 5: Solve for x
   x = 5,703,502,532,415,114,444,800/32,323,181,531
6. Step 6: Final answer
   x = 176,452,386,871.17