Finding the Third Proportional to 82,144 and 123,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 123,580.50 = 123,580.50 : x
2. Step 2: Convert to fraction form
   82,144/123,580.50 = 123,580.50/x
3. Step 3: Cross multiply
   82,144x = 123,580.50 × 123,580.50
4. Step 4: Simplify right side
   82,144x = 15,272,139,980.25
5. Step 5: Solve for x
   x = 15,272,139,980.25/82,144
6. Step 6: Final answer
   x = 185,919.12