Finding the Third Proportional to 123,889.50 and 196,911

Step by Step Solution

1. Step 1: Write the proportion equation
   123,889.50 : 196,911 = 196,911 : x
2. Step 2: Convert to fraction form
   123,889.50/196,911 = 196,911/x
3. Step 3: Cross multiply
   123,889.50x = 196,911 × 196,911
4. Step 4: Simplify right side
   123,889.50x = 38,773,941,921
5. Step 5: Solve for x
   x = 38,773,941,921/123,889.50
6. Step 6: Final answer
   x = 312,971.98