Finding the Third Proportional to 85,875 and 187,004

Step by Step Solution

1. Step 1: Write the proportion equation
   85,875 : 187,004 = 187,004 : x
2. Step 2: Convert to fraction form
   85,875/187,004 = 187,004/x
3. Step 3: Cross multiply
   85,875x = 187,004 × 187,004
4. Step 4: Simplify right side
   85,875x = 34,970,496,016
5. Step 5: Solve for x
   x = 34,970,496,016/85,875
6. Step 6: Final answer
   x = 407,225.57