Finding the Third Proportional to 65,788 and 89,178

Step by Step Solution

1. Step 1: Write the proportion equation
   65,788 : 89,178 = 89,178 : x
2. Step 2: Convert to fraction form
   65,788/89,178 = 89,178/x
3. Step 3: Cross multiply
   65,788x = 89,178 × 89,178
4. Step 4: Simplify right side
   65,788x = 7,952,715,684
5. Step 5: Solve for x
   x = 7,952,715,684/65,788
6. Step 6: Final answer
   x = 120,883.99