Finding the Third Proportional to 53,178 and 109,088

Step by Step Solution

1. Step 1: Write the proportion equation
   53,178 : 109,088 = 109,088 : x
2. Step 2: Convert to fraction form
   53,178/109,088 = 109,088/x
3. Step 3: Cross multiply
   53,178x = 109,088 × 109,088
4. Step 4: Simplify right side
   53,178x = 11,900,191,744
5. Step 5: Solve for x
   x = 11,900,191,744/53,178
6. Step 6: Final answer
   x = 223,780.36