Finding the Third Proportional to 84,219.75 and 123,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,219.75 : 123,043.50 = 123,043.50 : x
2. Step 2: Convert to fraction form
   84,219.75/123,043.50 = 123,043.50/x
3. Step 3: Cross multiply
   84,219.75x = 123,043.50 × 123,043.50
4. Step 4: Simplify right side
   84,219.75x = 15,139,702,892.25
5. Step 5: Solve for x
   x = 15,139,702,892.25/84,219.75
6. Step 6: Final answer
   x = 179,764.28