Finding the Third Proportional to 120,343 and 187,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,343 : 187,095.50 = 187,095.50 : x
2. Step 2: Convert to fraction form
   120,343/187,095.50 = 187,095.50/x
3. Step 3: Cross multiply
   120,343x = 187,095.50 × 187,095.50
4. Step 4: Simplify right side
   120,343x = 35,004,726,120.25
5. Step 5: Solve for x
   x = 35,004,726,120.25/120,343
6. Step 6: Final answer
   x = 290,874.63