Finding the Third Proportional to 55,797 and 78,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,797 : 78,043.50 = 78,043.50 : x
2. Step 2: Convert to fraction form
   55,797/78,043.50 = 78,043.50/x
3. Step 3: Cross multiply
   55,797x = 78,043.50 × 78,043.50
4. Step 4: Simplify right side
   55,797x = 6,090,787,892.25
5. Step 5: Solve for x
   x = 6,090,787,892.25/55,797
6. Step 6: Final answer
   x = 109,159.77