Finding the Third Proportional to 102,900,546,188 and 222,896,014,072

Step by Step Solution

1. Step 1: Write the proportion equation
   102,900,546,188 : 222,896,014,072 = 222,896,014,072 : x
2. Step 2: Convert to fraction form
   102,900,546,188/222,896,014,072 = 222,896,014,072/x
3. Step 3: Cross multiply
   102,900,546,188x = 222,896,014,072 × 222,896,014,072
4. Step 4: Simplify right side
   102,900,546,188x = 49,682,633,089,185,224,851,456
5. Step 5: Solve for x
   x = 49,682,633,089,185,224,851,456/102,900,546,188
6. Step 6: Final answer
   x = 482,821,859,841.39