Finding the Third Proportional to 65,110 and 138,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,110 : 138,213.50 = 138,213.50 : x
2. Step 2: Convert to fraction form
   65,110/138,213.50 = 138,213.50/x
3. Step 3: Cross multiply
   65,110x = 138,213.50 × 138,213.50
4. Step 4: Simplify right side
   65,110x = 19,102,971,582.25
5. Step 5: Solve for x
   x = 19,102,971,582.25/65,110
6. Step 6: Final answer
   x = 293,395.36