Finding the Third Proportional to 415,262 and 593,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,262 : 593,820.50 = 593,820.50 : x
2. Step 2: Convert to fraction form
   415,262/593,820.50 = 593,820.50/x
3. Step 3: Cross multiply
   415,262x = 593,820.50 × 593,820.50
4. Step 4: Simplify right side
   415,262x = 352,622,786,220.25
5. Step 5: Solve for x
   x = 352,622,786,220.25/415,262
6. Step 6: Final answer
   x = 849,157.37