Finding the Third Proportional to 314,524,536 and 492,321,096

Step by Step Solution

1. Step 1: Write the proportion equation
   314,524,536 : 492,321,096 = 492,321,096 : x
2. Step 2: Convert to fraction form
   314,524,536/492,321,096 = 492,321,096/x
3. Step 3: Cross multiply
   314,524,536x = 492,321,096 × 492,321,096
4. Step 4: Simplify right side
   314,524,536x = 242,380,061,566,641,216
5. Step 5: Solve for x
   x = 242,380,061,566,641,216/314,524,536
6. Step 6: Final answer
   x = 770,623,699.66