Finding the Third Proportional to 198,168,492 and 414,405,978

Step by Step Solution

1. Step 1: Write the proportion equation
   198,168,492 : 414,405,978 = 414,405,978 : x
2. Step 2: Convert to fraction form
   198,168,492/414,405,978 = 414,405,978/x
3. Step 3: Cross multiply
   198,168,492x = 414,405,978 × 414,405,978
4. Step 4: Simplify right side
   198,168,492x = 171,732,314,602,136,480
5. Step 5: Solve for x
   x = 171,732,314,602,136,480/198,168,492
6. Step 6: Final answer
   x = 866,597,474.04