Finding the Third Proportional to 55,827 and 78,090

Step by Step Solution

1. Step 1: Write the proportion equation
   55,827 : 78,090 = 78,090 : x
2. Step 2: Convert to fraction form
   55,827/78,090 = 78,090/x
3. Step 3: Cross multiply
   55,827x = 78,090 × 78,090
4. Step 4: Simplify right side
   55,827x = 6,098,048,100
5. Step 5: Solve for x
   x = 6,098,048,100/55,827
6. Step 6: Final answer
   x = 109,231.16