Finding the Third Proportional to 120,412 and 187,510

Step by Step Solution

1. Step 1: Write the proportion equation
   120,412 : 187,510 = 187,510 : x
2. Step 2: Convert to fraction form
   120,412/187,510 = 187,510/x
3. Step 3: Cross multiply
   120,412x = 187,510 × 187,510
4. Step 4: Simplify right side
   120,412x = 35,160,000,100
5. Step 5: Solve for x
   x = 35,160,000,100/120,412
6. Step 6: Final answer
   x = 291,997.48