Finding the Third Proportional to 200,587.50 and 417,978

Step by Step Solution

1. Step 1: Write the proportion equation
   200,587.50 : 417,978 = 417,978 : x
2. Step 2: Convert to fraction form
   200,587.50/417,978 = 417,978/x
3. Step 3: Cross multiply
   200,587.50x = 417,978 × 417,978
4. Step 4: Simplify right side
   200,587.50x = 174,705,608,484
5. Step 5: Solve for x
   x = 174,705,608,484/200,587.50
6. Step 6: Final answer
   x = 870,969.57