Finding the Third Proportional to 93,505.50 and 206,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,505.50 : 206,698.50 = 206,698.50 : x
2. Step 2: Convert to fraction form
   93,505.50/206,698.50 = 206,698.50/x
3. Step 3: Cross multiply
   93,505.50x = 206,698.50 × 206,698.50
4. Step 4: Simplify right side
   93,505.50x = 42,724,269,902.25
5. Step 5: Solve for x
   x = 42,724,269,902.25/93,505.50
6. Step 6: Final answer
   x = 456,917.19