Finding the Third Proportional to 145,929 and 209,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,929 : 209,677.50 = 209,677.50 : x
2. Step 2: Convert to fraction form
   145,929/209,677.50 = 209,677.50/x
3. Step 3: Cross multiply
   145,929x = 209,677.50 × 209,677.50
4. Step 4: Simplify right side
   145,929x = 43,964,654,006.25
5. Step 5: Solve for x
   x = 43,964,654,006.25/145,929
6. Step 6: Final answer
   x = 301,274.28