Finding the Third Proportional to 624,463,925,364 and 842,548,456,044

Step by Step Solution

1. Step 1: Write the proportion equation
   624,463,925,364 : 842,548,456,044 = 842,548,456,044 : x
2. Step 2: Convert to fraction form
   624,463,925,364/842,548,456,044 = 842,548,456,044/x
3. Step 3: Cross multiply
   624,463,925,364x = 842,548,456,044 × 842,548,456,044
4. Step 4: Simplify right side
   624,463,925,364x = 709,887,900,782,128,200,155,136
5. Step 5: Solve for x
   x = 709,887,900,782,128,200,155,136/624,463,925,364
6. Step 6: Final answer
   x = 1,136,795,692,991.13