Finding the Third Proportional to 83,117 and 178,141

Step by Step Solution

1. Step 1: Write the proportion equation
   83,117 : 178,141 = 178,141 : x
2. Step 2: Convert to fraction form
   83,117/178,141 = 178,141/x
3. Step 3: Cross multiply
   83,117x = 178,141 × 178,141
4. Step 4: Simplify right side
   83,117x = 31,734,215,881
5. Step 5: Solve for x
   x = 31,734,215,881/83,117
6. Step 6: Final answer
   x = 381,801.75