Finding the Third Proportional to 87,219,142,236 and 189,323,780,616

Step by Step Solution

1. Step 1: Write the proportion equation
   87,219,142,236 : 189,323,780,616 = 189,323,780,616 : x
2. Step 2: Convert to fraction form
   87,219,142,236/189,323,780,616 = 189,323,780,616/x
3. Step 3: Cross multiply
   87,219,142,236x = 189,323,780,616 × 189,323,780,616
4. Step 4: Simplify right side
   87,219,142,236x = 35,843,493,906,735,297,462,272
5. Step 5: Solve for x
   x = 35,843,493,906,735,297,462,272/87,219,142,236
6. Step 6: Final answer
   x = 410,959,027,890.33