Finding the Third Proportional to 82,385 and 123,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,385 : 123,293.50 = 123,293.50 : x
2. Step 2: Convert to fraction form
   82,385/123,293.50 = 123,293.50/x
3. Step 3: Cross multiply
   82,385x = 123,293.50 × 123,293.50
4. Step 4: Simplify right side
   82,385x = 15,201,287,142.25
5. Step 5: Solve for x
   x = 15,201,287,142.25/82,385
6. Step 6: Final answer
   x = 184,515.23