Finding the Third Proportional to 55,942 and 78,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,942 : 78,215.50 = 78,215.50 : x
2. Step 2: Convert to fraction form
   55,942/78,215.50 = 78,215.50/x
3. Step 3: Cross multiply
   55,942x = 78,215.50 × 78,215.50
4. Step 4: Simplify right side
   55,942x = 6,117,664,440.25
5. Step 5: Solve for x
   x = 6,117,664,440.25/55,942
6. Step 6: Final answer
   x = 109,357.27