Finding the Third Proportional to 55,503 and 81,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,503 : 81,784.50 = 81,784.50 : x
2. Step 2: Convert to fraction form
   55,503/81,784.50 = 81,784.50/x
3. Step 3: Cross multiply
   55,503x = 81,784.50 × 81,784.50
4. Step 4: Simplify right side
   55,503x = 6,688,704,440.25
5. Step 5: Solve for x
   x = 6,688,704,440.25/55,503
6. Step 6: Final answer
   x = 120,510.68