Finding the Third Proportional to 87,219,142,241 and 189,323,780,626

Step by Step Solution

1. Step 1: Write the proportion equation
   87,219,142,241 : 189,323,780,626 = 189,323,780,626 : x
2. Step 2: Convert to fraction form
   87,219,142,241/189,323,780,626 = 189,323,780,626/x
3. Step 3: Cross multiply
   87,219,142,241x = 189,323,780,626 × 189,323,780,626
4. Step 4: Simplify right side
   87,219,142,241x = 35,843,493,910,521,772,507,136
5. Step 5: Solve for x
   x = 35,843,493,910,521,772,507,136/87,219,142,241
6. Step 6: Final answer
   x = 410,959,027,910.19