Finding the Third Proportional to 123,327,678,724 and 196,238,581,116

Step by Step Solution

1. Step 1: Write the proportion equation
   123,327,678,724 : 196,238,581,116 = 196,238,581,116 : x
2. Step 2: Convert to fraction form
   123,327,678,724/196,238,581,116 = 196,238,581,116/x
3. Step 3: Cross multiply
   123,327,678,724x = 196,238,581,116 × 196,238,581,116
4. Step 4: Simplify right side
   123,327,678,724x = 38,509,580,718,420,910,931,968
5. Step 5: Solve for x
   x = 38,509,580,718,420,910,931,968/123,327,678,724
6. Step 6: Final answer
   x = 312,254,159,948.99