Finding the Third Proportional to 82,268,105,714 and 115,851,621,195

Step by Step Solution

1. Step 1: Write the proportion equation
   82,268,105,714 : 115,851,621,195 = 115,851,621,195 : x
2. Step 2: Convert to fraction form
   82,268,105,714/115,851,621,195 = 115,851,621,195/x
3. Step 3: Cross multiply
   82,268,105,714x = 115,851,621,195 × 115,851,621,195
4. Step 4: Simplify right side
   82,268,105,714x = 13,421,598,133,509,773,328,384
5. Step 5: Solve for x
   x = 13,421,598,133,509,773,328,384/82,268,105,714
6. Step 6: Final answer
   x = 163,144,611,353.63