Finding the Third Proportional to 65,816 and 100,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,816 : 100,626.50 = 100,626.50 : x
2. Step 2: Convert to fraction form
   65,816/100,626.50 = 100,626.50/x
3. Step 3: Cross multiply
   65,816x = 100,626.50 × 100,626.50
4. Step 4: Simplify right side
   65,816x = 10,125,692,502.25
5. Step 5: Solve for x
   x = 10,125,692,502.25/65,816
6. Step 6: Final answer
   x = 153,848.49