Finding the Third Proportional to 106,499 and 161,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,499 : 161,692.50 = 161,692.50 : x
2. Step 2: Convert to fraction form
   106,499/161,692.50 = 161,692.50/x
3. Step 3: Cross multiply
   106,499x = 161,692.50 × 161,692.50
4. Step 4: Simplify right side
   106,499x = 26,144,464,556.25
5. Step 5: Solve for x
   x = 26,144,464,556.25/106,499
6. Step 6: Final answer
   x = 245,490.24