Finding the Third Proportional to 93,546 and 206,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,546 : 206,779.50 = 206,779.50 : x
2. Step 2: Convert to fraction form
   93,546/206,779.50 = 206,779.50/x
3. Step 3: Cross multiply
   93,546x = 206,779.50 × 206,779.50
4. Step 4: Simplify right side
   93,546x = 42,757,761,620.25
5. Step 5: Solve for x
   x = 42,757,761,620.25/93,546
6. Step 6: Final answer
   x = 457,077.39