Finding the Third Proportional to 55,188 and 76,178

Step by Step Solution

1. Step 1: Write the proportion equation
   55,188 : 76,178 = 76,178 : x
2. Step 2: Convert to fraction form
   55,188/76,178 = 76,178/x
3. Step 3: Cross multiply
   55,188x = 76,178 × 76,178
4. Step 4: Simplify right side
   55,188x = 5,803,087,684
5. Step 5: Solve for x
   x = 5,803,087,684/55,188
6. Step 6: Final answer
   x = 105,151.26