Finding the Third Proportional to 137,796 and 206,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,796 : 206,692.50 = 206,692.50 : x
2. Step 2: Convert to fraction form
   137,796/206,692.50 = 206,692.50/x
3. Step 3: Cross multiply
   137,796x = 206,692.50 × 206,692.50
4. Step 4: Simplify right side
   137,796x = 42,721,789,556.25
5. Step 5: Solve for x
   x = 42,721,789,556.25/137,796
6. Step 6: Final answer
   x = 310,036.50