Finding the Third Proportional to 83,146 and 182,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,146 : 182,387.50 = 182,387.50 : x
2. Step 2: Convert to fraction form
   83,146/182,387.50 = 182,387.50/x
3. Step 3: Cross multiply
   83,146x = 182,387.50 × 182,387.50
4. Step 4: Simplify right side
   83,146x = 33,265,200,156.25
5. Step 5: Solve for x
   x = 33,265,200,156.25/83,146
6. Step 6: Final answer
   x = 400,081.79