Finding the Third Proportional to 115,784 and 173,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,784 : 173,189.50 = 173,189.50 : x
2. Step 2: Convert to fraction form
   115,784/173,189.50 = 173,189.50/x
3. Step 3: Cross multiply
   115,784x = 173,189.50 × 173,189.50
4. Step 4: Simplify right side
   115,784x = 29,994,602,910.25
5. Step 5: Solve for x
   x = 29,994,602,910.25/115,784
6. Step 6: Final answer
   x = 259,056.54