Finding the Third Proportional to 83,141 and 178,095

Step by Step Solution

1. Step 1: Write the proportion equation
   83,141 : 178,095 = 178,095 : x
2. Step 2: Convert to fraction form
   83,141/178,095 = 178,095/x
3. Step 3: Cross multiply
   83,141x = 178,095 × 178,095
4. Step 4: Simplify right side
   83,141x = 31,717,829,025
5. Step 5: Solve for x
   x = 31,717,829,025/83,141
6. Step 6: Final answer
   x = 381,494.44