Finding the Third Proportional to 257,731,662,245 and 522,812,223,502

Step by Step Solution

1. Step 1: Write the proportion equation
   257,731,662,245 : 522,812,223,502 = 522,812,223,502 : x
2. Step 2: Convert to fraction form
   257,731,662,245/522,812,223,502 = 522,812,223,502/x
3. Step 3: Cross multiply
   257,731,662,245x = 522,812,223,502 × 522,812,223,502
4. Step 4: Simplify right side
   257,731,662,245x = 273,332,621,043,105,200,603,136
5. Step 5: Solve for x
   x = 273,332,621,043,105,200,603,136/257,731,662,245
6. Step 6: Final answer
   x = 1,060,531,789,777.83