Finding the Third Proportional to 85,314 and 133,820

Step by Step Solution

1. Step 1: Write the proportion equation
   85,314 : 133,820 = 133,820 : x
2. Step 2: Convert to fraction form
   85,314/133,820 = 133,820/x
3. Step 3: Cross multiply
   85,314x = 133,820 × 133,820
4. Step 4: Simplify right side
   85,314x = 17,907,792,400
5. Step 5: Solve for x
   x = 17,907,792,400/85,314
6. Step 6: Final answer
   x = 209,904.50