Finding the Third Proportional to 93,780 and 205,360.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,780 : 205,360.50 = 205,360.50 : x
2. Step 2: Convert to fraction form
   93,780/205,360.50 = 205,360.50/x
3. Step 3: Cross multiply
   93,780x = 205,360.50 × 205,360.50
4. Step 4: Simplify right side
   93,780x = 42,172,934,960.25
5. Step 5: Solve for x
   x = 42,172,934,960.25/93,780
6. Step 6: Final answer
   x = 449,700.74