Finding the Third Proportional to 101,740.50 and 206,250

Step by Step Solution

1. Step 1: Write the proportion equation
   101,740.50 : 206,250 = 206,250 : x
2. Step 2: Convert to fraction form
   101,740.50/206,250 = 206,250/x
3. Step 3: Cross multiply
   101,740.50x = 206,250 × 206,250
4. Step 4: Simplify right side
   101,740.50x = 42,539,062,500
5. Step 5: Solve for x
   x = 42,539,062,500/101,740.50
6. Step 6: Final answer
   x = 418,113.36