Finding the Third Proportional to 87,219,142,245 and 189,323,780,634

Step by Step Solution

1. Step 1: Write the proportion equation
   87,219,142,245 : 189,323,780,634 = 189,323,780,634 : x
2. Step 2: Convert to fraction form
   87,219,142,245/189,323,780,634 = 189,323,780,634/x
3. Step 3: Cross multiply
   87,219,142,245x = 189,323,780,634 × 189,323,780,634
4. Step 4: Simplify right side
   87,219,142,245x = 35,843,493,913,550,953,381,888
5. Step 5: Solve for x
   x = 35,843,493,913,550,953,381,888/87,219,142,245
6. Step 6: Final answer
   x = 410,959,027,926.07