Finding the Third Proportional to 123,937.50 and 196,977

Step by Step Solution

1. Step 1: Write the proportion equation
   123,937.50 : 196,977 = 196,977 : x
2. Step 2: Convert to fraction form
   123,937.50/196,977 = 196,977/x
3. Step 3: Cross multiply
   123,937.50x = 196,977 × 196,977
4. Step 4: Simplify right side
   123,937.50x = 38,799,938,529
5. Step 5: Solve for x
   x = 38,799,938,529/123,937.50
6. Step 6: Final answer
   x = 313,060.52