Finding the Third Proportional to 65,466 and 103,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,466 : 103,828.50 = 103,828.50 : x
2. Step 2: Convert to fraction form
   65,466/103,828.50 = 103,828.50/x
3. Step 3: Cross multiply
   65,466x = 103,828.50 × 103,828.50
4. Step 4: Simplify right side
   65,466x = 10,780,357,412.25
5. Step 5: Solve for x
   x = 10,780,357,412.25/65,466
6. Step 6: Final answer
   x = 164,671.09