Finding the Third Proportional to 83,300 and 182,134

Step by Step Solution

1. Step 1: Write the proportion equation
   83,300 : 182,134 = 182,134 : x
2. Step 2: Convert to fraction form
   83,300/182,134 = 182,134/x
3. Step 3: Cross multiply
   83,300x = 182,134 × 182,134
4. Step 4: Simplify right side
   83,300x = 33,172,793,956
5. Step 5: Solve for x
   x = 33,172,793,956/83,300
6. Step 6: Final answer
   x = 398,232.82