Finding the Third Proportional to 746,178,185.25 and 1,597,176,648

Step by Step Solution

1. Step 1: Write the proportion equation
   746,178,185.25 : 1,597,176,648 = 1,597,176,648 : x
2. Step 2: Convert to fraction form
   746,178,185.25/1,597,176,648 = 1,597,176,648/x
3. Step 3: Cross multiply
   746,178,185.25x = 1,597,176,648 × 1,597,176,648
4. Step 4: Simplify right side
   746,178,185.25x = 2,550,973,244,916,515,840
5. Step 5: Solve for x
   x = 2,550,973,244,916,515,840/746,178,185.25
6. Step 6: Final answer
   x = 3,418,718,605.48