Finding the Third Proportional to 200,422.50 and 417,372

Step by Step Solution

1. Step 1: Write the proportion equation
   200,422.50 : 417,372 = 417,372 : x
2. Step 2: Convert to fraction form
   200,422.50/417,372 = 417,372/x
3. Step 3: Cross multiply
   200,422.50x = 417,372 × 417,372
4. Step 4: Simplify right side
   200,422.50x = 174,199,386,384
5. Step 5: Solve for x
   x = 174,199,386,384/200,422.50
6. Step 6: Final answer
   x = 869,160.83