Finding the Third Proportional to 409,140,364 and 897,492,410

Step by Step Solution

1. Step 1: Write the proportion equation
   409,140,364 : 897,492,410 = 897,492,410 : x
2. Step 2: Convert to fraction form
   409,140,364/897,492,410 = 897,492,410/x
3. Step 3: Cross multiply
   409,140,364x = 897,492,410 × 897,492,410
4. Step 4: Simplify right side
   409,140,364x = 805,492,626,007,608,064
5. Step 5: Solve for x
   x = 805,492,626,007,608,064/409,140,364
6. Step 6: Final answer
   x = 1,968,743,973.66