Finding the Third Proportional to 106,633,270,737 and 222,092,514,018

Step by Step Solution

1. Step 1: Write the proportion equation
   106,633,270,737 : 222,092,514,018 = 222,092,514,018 : x
2. Step 2: Convert to fraction form
   106,633,270,737/222,092,514,018 = 222,092,514,018/x
3. Step 3: Cross multiply
   106,633,270,737x = 222,092,514,018 × 222,092,514,018
4. Step 4: Simplify right side
   106,633,270,737x = 49,325,084,782,835,523,387,392
5. Step 5: Solve for x
   x = 49,325,084,782,835,523,387,392/106,633,270,737
6. Step 6: Final answer
   x = 462,567,493,634.24