Finding the Third Proportional to 427,926 and 598,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   427,926 : 598,237.50 = 598,237.50 : x
2. Step 2: Convert to fraction form
   427,926/598,237.50 = 598,237.50/x
3. Step 3: Cross multiply
   427,926x = 598,237.50 × 598,237.50
4. Step 4: Simplify right side
   427,926x = 357,888,106,406.25
5. Step 5: Solve for x
   x = 357,888,106,406.25/427,926
6. Step 6: Final answer
   x = 836,331.76