Finding the Third Proportional to 65,838 and 99,338

Step by Step Solution

1. Step 1: Write the proportion equation
   65,838 : 99,338 = 99,338 : x
2. Step 2: Convert to fraction form
   65,838/99,338 = 99,338/x
3. Step 3: Cross multiply
   65,838x = 99,338 × 99,338
4. Step 4: Simplify right side
   65,838x = 9,868,038,244
5. Step 5: Solve for x
   x = 9,868,038,244/65,838
6. Step 6: Final answer
   x = 149,883.63