Finding the Third Proportional to 200,426 and 417,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,426 : 417,437.50 = 417,437.50 : x
2. Step 2: Convert to fraction form
   200,426/417,437.50 = 417,437.50/x
3. Step 3: Cross multiply
   200,426x = 417,437.50 × 417,437.50
4. Step 4: Simplify right side
   200,426x = 174,254,066,406.25
5. Step 5: Solve for x
   x = 174,254,066,406.25/200,426
6. Step 6: Final answer
   x = 869,418.47