Finding the Third Proportional to 93,640 and 206,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,640 : 206,367.50 = 206,367.50 : x
2. Step 2: Convert to fraction form
   93,640/206,367.50 = 206,367.50/x
3. Step 3: Cross multiply
   93,640x = 206,367.50 × 206,367.50
4. Step 4: Simplify right side
   93,640x = 42,587,545,056.25
5. Step 5: Solve for x
   x = 42,587,545,056.25/93,640
6. Step 6: Final answer
   x = 454,800.78