Finding the Third Proportional to 83,141 and 179,594

Step by Step Solution

1. Step 1: Write the proportion equation
   83,141 : 179,594 = 179,594 : x
2. Step 2: Convert to fraction form
   83,141/179,594 = 179,594/x
3. Step 3: Cross multiply
   83,141x = 179,594 × 179,594
4. Step 4: Simplify right side
   83,141x = 32,254,004,836
5. Step 5: Solve for x
   x = 32,254,004,836/83,141
6. Step 6: Final answer
   x = 387,943.43