Finding the Third Proportional to 82,967.50 and 182,063

Step by Step Solution

1. Step 1: Write the proportion equation
   82,967.50 : 182,063 = 182,063 : x
2. Step 2: Convert to fraction form
   82,967.50/182,063 = 182,063/x
3. Step 3: Cross multiply
   82,967.50x = 182,063 × 182,063
4. Step 4: Simplify right side
   82,967.50x = 33,146,935,969
5. Step 5: Solve for x
   x = 33,146,935,969/82,967.50
6. Step 6: Final answer
   x = 399,517.11