Finding the Third Proportional to 87,219,142,257 and 189,323,780,658

Step by Step Solution

1. Step 1: Write the proportion equation
   87,219,142,257 : 189,323,780,658 = 189,323,780,658 : x
2. Step 2: Convert to fraction form
   87,219,142,257/189,323,780,658 = 189,323,780,658/x
3. Step 3: Cross multiply
   87,219,142,257x = 189,323,780,658 × 189,323,780,658
4. Step 4: Simplify right side
   87,219,142,257x = 35,843,493,922,638,496,006,144
5. Step 5: Solve for x
   x = 35,843,493,922,638,496,006,144/87,219,142,257
6. Step 6: Final answer
   x = 410,959,027,973.72