Finding the Third Proportional to 85,522 and 182,117

Step by Step Solution

1. Step 1: Write the proportion equation
   85,522 : 182,117 = 182,117 : x
2. Step 2: Convert to fraction form
   85,522/182,117 = 182,117/x
3. Step 3: Cross multiply
   85,522x = 182,117 × 182,117
4. Step 4: Simplify right side
   85,522x = 33,166,601,689
5. Step 5: Solve for x
   x = 33,166,601,689/85,522
6. Step 6: Final answer
   x = 387,813.68