Finding the Third Proportional to 65,186 and 100,772

Step by Step Solution

1. Step 1: Write the proportion equation
   65,186 : 100,772 = 100,772 : x
2. Step 2: Convert to fraction form
   65,186/100,772 = 100,772/x
3. Step 3: Cross multiply
   65,186x = 100,772 × 100,772
4. Step 4: Simplify right side
   65,186x = 10,154,995,984
5. Step 5: Solve for x
   x = 10,154,995,984/65,186
6. Step 6: Final answer
   x = 155,784.92