Finding the Third Proportional to 99,849,779,366 and 213,837,424,606

Step by Step Solution

1. Step 1: Write the proportion equation
   99,849,779,366 : 213,837,424,606 = 213,837,424,606 : x
2. Step 2: Convert to fraction form
   99,849,779,366/213,837,424,606 = 213,837,424,606/x
3. Step 3: Cross multiply
   99,849,779,366x = 213,837,424,606 × 213,837,424,606
4. Step 4: Simplify right side
   99,849,779,366x = 45,726,444,162,126,735,998,976
5. Step 5: Solve for x
   x = 45,726,444,162,126,735,998,976/99,849,779,366
6. Step 6: Final answer
   x = 457,952,380,590.81