Finding the Third Proportional to 55,858 and 78,136

Step by Step Solution

1. Step 1: Write the proportion equation
   55,858 : 78,136 = 78,136 : x
2. Step 2: Convert to fraction form
   55,858/78,136 = 78,136/x
3. Step 3: Cross multiply
   55,858x = 78,136 × 78,136
4. Step 4: Simplify right side
   55,858x = 6,105,234,496
5. Step 5: Solve for x
   x = 6,105,234,496/55,858
6. Step 6: Final answer
   x = 109,299.20