Finding the Third Proportional to 120,906 and 187,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,906 : 187,843.50 = 187,843.50 : x
2. Step 2: Convert to fraction form
   120,906/187,843.50 = 187,843.50/x
3. Step 3: Cross multiply
   120,906x = 187,843.50 × 187,843.50
4. Step 4: Simplify right side
   120,906x = 35,285,180,492.25
5. Step 5: Solve for x
   x = 35,285,180,492.25/120,906
6. Step 6: Final answer
   x = 291,839.78