Finding the Third Proportional to 359,558,525,478 and 782,413,835,602

Step by Step Solution

1. Step 1: Write the proportion equation
   359,558,525,478 : 782,413,835,602 = 782,413,835,602 : x
2. Step 2: Convert to fraction form
   359,558,525,478/782,413,835,602 = 782,413,835,602/x
3. Step 3: Cross multiply
   359,558,525,478x = 782,413,835,602 × 782,413,835,602
4. Step 4: Simplify right side
   359,558,525,478x = 612,171,410,141,433,470,910,464
5. Step 5: Solve for x
   x = 612,171,410,141,433,470,910,464/359,558,525,478
6. Step 6: Final answer
   x = 1,702,564,024,389.65