Finding the Third Proportional to 85,563 and 187,710

Step by Step Solution

1. Step 1: Write the proportion equation
   85,563 : 187,710 = 187,710 : x
2. Step 2: Convert to fraction form
   85,563/187,710 = 187,710/x
3. Step 3: Cross multiply
   85,563x = 187,710 × 187,710
4. Step 4: Simplify right side
   85,563x = 35,235,044,100
5. Step 5: Solve for x
   x = 35,235,044,100/85,563
6. Step 6: Final answer
   x = 411,802.35