Finding the Third Proportional to 96,138,119,856 and 141,327,300,991

Step by Step Solution

1. Step 1: Write the proportion equation
   96,138,119,856 : 141,327,300,991 = 141,327,300,991 : x
2. Step 2: Convert to fraction form
   96,138,119,856/141,327,300,991 = 141,327,300,991/x
3. Step 3: Cross multiply
   96,138,119,856x = 141,327,300,991 × 141,327,300,991
4. Step 4: Simplify right side
   96,138,119,856x = 19,973,406,005,400,711,462,912
5. Step 5: Solve for x
   x = 19,973,406,005,400,711,462,912/96,138,119,856
6. Step 6: Final answer
   x = 207,757,401,905.90