Finding the Third Proportional to 145,657 and 196,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,657 : 196,793.50 = 196,793.50 : x
2. Step 2: Convert to fraction form
   145,657/196,793.50 = 196,793.50/x
3. Step 3: Cross multiply
   145,657x = 196,793.50 × 196,793.50
4. Step 4: Simplify right side
   145,657x = 38,727,681,642.25
5. Step 5: Solve for x
   x = 38,727,681,642.25/145,657
6. Step 6: Final answer
   x = 265,882.74