Finding the Third Proportional to 83,133 and 178,080.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,133 : 178,080.75 = 178,080.75 : x
2. Step 2: Convert to fraction form
   83,133/178,080.75 = 178,080.75/x
3. Step 3: Cross multiply
   83,133x = 178,080.75 × 178,080.75
4. Step 4: Simplify right side
   83,133x = 31,712,753,520.56
5. Step 5: Solve for x
   x = 31,712,753,520.56/83,133
6. Step 6: Final answer
   x = 381,470.10