Finding the Third Proportional to 120,409 and 187,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,409 : 187,507.50 = 187,507.50 : x
2. Step 2: Convert to fraction form
   120,409/187,507.50 = 187,507.50/x
3. Step 3: Cross multiply
   120,409x = 187,507.50 × 187,507.50
4. Step 4: Simplify right side
   120,409x = 35,159,062,556.25
5. Step 5: Solve for x
   x = 35,159,062,556.25/120,409
6. Step 6: Final answer
   x = 291,996.96