Finding the Third Proportional to 121,947 and 187,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,947 : 187,780.50 = 187,780.50 : x
2. Step 2: Convert to fraction form
   121,947/187,780.50 = 187,780.50/x
3. Step 3: Cross multiply
   121,947x = 187,780.50 × 187,780.50
4. Step 4: Simplify right side
   121,947x = 35,261,516,180.25
5. Step 5: Solve for x
   x = 35,261,516,180.25/121,947
6. Step 6: Final answer
   x = 289,154.44