Finding the Third Proportional to 120,228 and 187,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,228 : 187,147.50 = 187,147.50 : x
2. Step 2: Convert to fraction form
   120,228/187,147.50 = 187,147.50/x
3. Step 3: Cross multiply
   120,228x = 187,147.50 × 187,147.50
4. Step 4: Simplify right side
   120,228x = 35,024,186,756.25
5. Step 5: Solve for x
   x = 35,024,186,756.25/120,228
6. Step 6: Final answer
   x = 291,314.72