Finding the Third Proportional to 120,152 and 187,024

Step by Step Solution

1. Step 1: Write the proportion equation
   120,152 : 187,024 = 187,024 : x
2. Step 2: Convert to fraction form
   120,152/187,024 = 187,024/x
3. Step 3: Cross multiply
   120,152x = 187,024 × 187,024
4. Step 4: Simplify right side
   120,152x = 34,977,976,576
5. Step 5: Solve for x
   x = 34,977,976,576/120,152
6. Step 6: Final answer
   x = 291,114.39