Finding the Third Proportional to 65,212 and 103,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,212 : 103,654.50 = 103,654.50 : x
2. Step 2: Convert to fraction form
   65,212/103,654.50 = 103,654.50/x
3. Step 3: Cross multiply
   65,212x = 103,654.50 × 103,654.50
4. Step 4: Simplify right side
   65,212x = 10,744,255,370.25
5. Step 5: Solve for x
   x = 10,744,255,370.25/65,212
6. Step 6: Final answer
   x = 164,758.87