Finding the Third Proportional to 42,649,856,822 and 93,829,535,833

Step by Step Solution

1. Step 1: Write the proportion equation
   42,649,856,822 : 93,829,535,833 = 93,829,535,833 : x
2. Step 2: Convert to fraction form
   42,649,856,822/93,829,535,833 = 93,829,535,833/x
3. Step 3: Cross multiply
   42,649,856,822x = 93,829,535,833 × 93,829,535,833
4. Step 4: Simplify right side
   42,649,856,822x = 8,803,981,794,636,231,344,128
5. Step 5: Solve for x
   x = 8,803,981,794,636,231,344,128/42,649,856,822
6. Step 6: Final answer
   x = 206,424,650,647.24