Finding the Third Proportional to 123,201 and 197,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,201 : 197,680.50 = 197,680.50 : x
2. Step 2: Convert to fraction form
   123,201/197,680.50 = 197,680.50/x
3. Step 3: Cross multiply
   123,201x = 197,680.50 × 197,680.50
4. Step 4: Simplify right side
   123,201x = 39,077,580,080.25
5. Step 5: Solve for x
   x = 39,077,580,080.25/123,201
6. Step 6: Final answer
   x = 317,185.58