Finding the Third Proportional to 415,275 and 593,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,275 : 593,842.50 = 593,842.50 : x
2. Step 2: Convert to fraction form
   415,275/593,842.50 = 593,842.50/x
3. Step 3: Cross multiply
   415,275x = 593,842.50 × 593,842.50
4. Step 4: Simplify right side
   415,275x = 352,648,914,806.25
5. Step 5: Solve for x
   x = 352,648,914,806.25/415,275
6. Step 6: Final answer
   x = 849,193.70