Finding the Third Proportional to 84,692 and 123,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,692 : 123,856.50 = 123,856.50 : x
2. Step 2: Convert to fraction form
   84,692/123,856.50 = 123,856.50/x
3. Step 3: Cross multiply
   84,692x = 123,856.50 × 123,856.50
4. Step 4: Simplify right side
   84,692x = 15,340,432,592.25
5. Step 5: Solve for x
   x = 15,340,432,592.25/84,692
6. Step 6: Final answer
   x = 181,132.01