Finding the Third Proportional to 83,746.50 and 197,661

Step by Step Solution

1. Step 1: Write the proportion equation
   83,746.50 : 197,661 = 197,661 : x
2. Step 2: Convert to fraction form
   83,746.50/197,661 = 197,661/x
3. Step 3: Cross multiply
   83,746.50x = 197,661 × 197,661
4. Step 4: Simplify right side
   83,746.50x = 39,069,870,921
5. Step 5: Solve for x
   x = 39,069,870,921/83,746.50
6. Step 6: Final answer
   x = 466,525.42