Finding the Third Proportional to 121,947.75 and 187,677

Step by Step Solution

1. Step 1: Write the proportion equation
   121,947.75 : 187,677 = 187,677 : x
2. Step 2: Convert to fraction form
   121,947.75/187,677 = 187,677/x
3. Step 3: Cross multiply
   121,947.75x = 187,677 × 187,677
4. Step 4: Simplify right side
   121,947.75x = 35,222,656,329
5. Step 5: Solve for x
   x = 35,222,656,329/121,947.75
6. Step 6: Final answer
   x = 288,834.00