Finding the Third Proportional to 99,849,779,372 and 213,837,424,618

Step by Step Solution

1. Step 1: Write the proportion equation
   99,849,779,372 : 213,837,424,618 = 213,837,424,618 : x
2. Step 2: Convert to fraction form
   99,849,779,372/213,837,424,618 = 213,837,424,618/x
3. Step 3: Cross multiply
   99,849,779,372x = 213,837,424,618 × 213,837,424,618
4. Step 4: Simplify right side
   99,849,779,372x = 45,726,444,167,258,836,041,728
5. Step 5: Solve for x
   x = 45,726,444,167,258,836,041,728/99,849,779,372
6. Step 6: Final answer
   x = 457,952,380,614.69