Finding the Third Proportional to 75,613.50 and 111,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75,613.50 : 111,692.25 = 111,692.25 : x
2. Step 2: Convert to fraction form
   75,613.50/111,692.25 = 111,692.25/x
3. Step 3: Cross multiply
   75,613.50x = 111,692.25 × 111,692.25
4. Step 4: Simplify right side
   75,613.50x = 12,475,158,710.06
5. Step 5: Solve for x
   x = 12,475,158,710.06/75,613.50
6. Step 6: Final answer
   x = 164,985.87