Finding the Third Proportional to 341,598 and 492,096

Step by Step Solution

1. Step 1: Write the proportion equation
   341,598 : 492,096 = 492,096 : x
2. Step 2: Convert to fraction form
   341,598/492,096 = 492,096/x
3. Step 3: Cross multiply
   341,598x = 492,096 × 492,096
4. Step 4: Simplify right side
   341,598x = 242,158,473,216
5. Step 5: Solve for x
   x = 242,158,473,216/341,598
6. Step 6: Final answer
   x = 708,898.98