Finding the Third Proportional to 182,407,645,655 and 392,267,014,738

Step by Step Solution

1. Step 1: Write the proportion equation
   182,407,645,655 : 392,267,014,738 = 392,267,014,738 : x
2. Step 2: Convert to fraction form
   182,407,645,655/392,267,014,738 = 392,267,014,738/x
3. Step 3: Cross multiply
   182,407,645,655x = 392,267,014,738 × 392,267,014,738
4. Step 4: Simplify right side
   182,407,645,655x = 153,873,410,851,462,308,691,968
5. Step 5: Solve for x
   x = 153,873,410,851,462,308,691,968/182,407,645,655
6. Step 6: Final answer
   x = 843,568,866,309.99