Finding the Third Proportional to 177,667.50 and 260,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,667.50 : 260,992.50 = 260,992.50 : x
2. Step 2: Convert to fraction form
   177,667.50/260,992.50 = 260,992.50/x
3. Step 3: Cross multiply
   177,667.50x = 260,992.50 × 260,992.50
4. Step 4: Simplify right side
   177,667.50x = 68,117,085,056.25
5. Step 5: Solve for x
   x = 68,117,085,056.25/177,667.50
6. Step 6: Final answer
   x = 383,396.43