Finding the Third Proportional to 87,219,142,233 and 189,323,780,610

Step by Step Solution

1. Step 1: Write the proportion equation
   87,219,142,233 : 189,323,780,610 = 189,323,780,610 : x
2. Step 2: Convert to fraction form
   87,219,142,233/189,323,780,610 = 189,323,780,610/x
3. Step 3: Cross multiply
   87,219,142,233x = 189,323,780,610 × 189,323,780,610
4. Step 4: Simplify right side
   87,219,142,233x = 35,843,493,904,463,410,757,632
5. Step 5: Solve for x
   x = 35,843,493,904,463,410,757,632/87,219,142,233
6. Step 6: Final answer
   x = 410,959,027,878.42