Finding the Third Proportional to 189,972 and 411,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   189,972 : 411,567.75 = 411,567.75 : x
2. Step 2: Convert to fraction form
   189,972/411,567.75 = 411,567.75/x
3. Step 3: Cross multiply
   189,972x = 411,567.75 × 411,567.75
4. Step 4: Simplify right side
   189,972x = 169,388,012,840.06
5. Step 5: Solve for x
   x = 169,388,012,840.06/189,972
6. Step 6: Final answer
   x = 891,647.26