Finding the Third Proportional to 120,210 and 187,118

Step by Step Solution

1. Step 1: Write the proportion equation
   120,210 : 187,118 = 187,118 : x
2. Step 2: Convert to fraction form
   120,210/187,118 = 187,118/x
3. Step 3: Cross multiply
   120,210x = 187,118 × 187,118
4. Step 4: Simplify right side
   120,210x = 35,013,145,924
5. Step 5: Solve for x
   x = 35,013,145,924/120,210
6. Step 6: Final answer
   x = 291,266.50