Finding the Third Proportional to 85,185 and 187,501

Step by Step Solution

1. Step 1: Write the proportion equation
   85,185 : 187,501 = 187,501 : x
2. Step 2: Convert to fraction form
   85,185/187,501 = 187,501/x
3. Step 3: Cross multiply
   85,185x = 187,501 × 187,501
4. Step 4: Simplify right side
   85,185x = 35,156,625,001
5. Step 5: Solve for x
   x = 35,156,625,001/85,185
6. Step 6: Final answer
   x = 412,709.10