Finding the Third Proportional to 78,400 and 119,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,400 : 119,443.50 = 119,443.50 : x
2. Step 2: Convert to fraction form
   78,400/119,443.50 = 119,443.50/x
3. Step 3: Cross multiply
   78,400x = 119,443.50 × 119,443.50
4. Step 4: Simplify right side
   78,400x = 14,266,749,692.25
5. Step 5: Solve for x
   x = 14,266,749,692.25/78,400
6. Step 6: Final answer
   x = 181,973.85