Finding the Third Proportional to 498,492,414 and 1,090,798,380

Step by Step Solution

1. Step 1: Write the proportion equation
   498,492,414 : 1,090,798,380 = 1,090,798,380 : x
2. Step 2: Convert to fraction form
   498,492,414/1,090,798,380 = 1,090,798,380/x
3. Step 3: Cross multiply
   498,492,414x = 1,090,798,380 × 1,090,798,380
4. Step 4: Simplify right side
   498,492,414x = 1,189,841,105,810,624,512
5. Step 5: Solve for x
   x = 1,189,841,105,810,624,512/498,492,414
6. Step 6: Final answer
   x = 2,386,879,062.54