Finding the Third Proportional to 119,692.69 and 185,321.67

Step by Step Solution

1. Step 1: Write the proportion equation
   119,692.69 : 185,321.67 = 185,321.67 : x
2. Step 2: Convert to fraction form
   119,692.69/185,321.67 = 185,321.67/x
3. Step 3: Cross multiply
   119,692.69x = 185,321.67 × 185,321.67
4. Step 4: Simplify right side
   119,692.69x = 34,344,122,066.55
5. Step 5: Solve for x
   x = 34,344,122,066.55/119,692.69
6. Step 6: Final answer
   x = 286,935.84