Finding the Third Proportional to 65,664 and 100,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 100,136.50 = 100,136.50 : x
2. Step 2: Convert to fraction form
   65,664/100,136.50 = 100,136.50/x
3. Step 3: Cross multiply
   65,664x = 100,136.50 × 100,136.50
4. Step 4: Simplify right side
   65,664x = 10,027,318,632.25
5. Step 5: Solve for x
   x = 10,027,318,632.25/65,664
6. Step 6: Final answer
   x = 152,706.49