Finding the Third Proportional to 201,945 and 437,322.75

Step by Step Solution

1. Step 1: Write the proportion equation
   201,945 : 437,322.75 = 437,322.75 : x
2. Step 2: Convert to fraction form
   201,945/437,322.75 = 437,322.75/x
3. Step 3: Cross multiply
   201,945x = 437,322.75 × 437,322.75
4. Step 4: Simplify right side
   201,945x = 191,251,187,667.56
5. Step 5: Solve for x
   x = 191,251,187,667.56/201,945
6. Step 6: Final answer
   x = 947,045.92