Finding the Third Proportional to 145,655 and 209,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,655 : 209,053.50 = 209,053.50 : x
2. Step 2: Convert to fraction form
   145,655/209,053.50 = 209,053.50/x
3. Step 3: Cross multiply
   145,655x = 209,053.50 × 209,053.50
4. Step 4: Simplify right side
   145,655x = 43,703,365,862.25
5. Step 5: Solve for x
   x = 43,703,365,862.25/145,655
6. Step 6: Final answer
   x = 300,047.14