Finding the Third Proportional to 145,099 and 205,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,099 : 205,498.50 = 205,498.50 : x
2. Step 2: Convert to fraction form
   145,099/205,498.50 = 205,498.50/x
3. Step 3: Cross multiply
   145,099x = 205,498.50 × 205,498.50
4. Step 4: Simplify right side
   145,099x = 42,229,633,502.25
5. Step 5: Solve for x
   x = 42,229,633,502.25/145,099
6. Step 6: Final answer
   x = 291,040.14