Finding the Third Proportional to 128,385 and 187,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,385 : 187,823.25 = 187,823.25 : x
2. Step 2: Convert to fraction form
   128,385/187,823.25 = 187,823.25/x
3. Step 3: Cross multiply
   128,385x = 187,823.25 × 187,823.25
4. Step 4: Simplify right side
   128,385x = 35,277,573,240.56
5. Step 5: Solve for x
   x = 35,277,573,240.56/128,385
6. Step 6: Final answer
   x = 274,779.56