Finding the Third Proportional to 65,186 and 156,984

Step by Step Solution

1. Step 1: Write the proportion equation
   65,186 : 156,984 = 156,984 : x
2. Step 2: Convert to fraction form
   65,186/156,984 = 156,984/x
3. Step 3: Cross multiply
   65,186x = 156,984 × 156,984
4. Step 4: Simplify right side
   65,186x = 24,643,976,256
5. Step 5: Solve for x
   x = 24,643,976,256/65,186
6. Step 6: Final answer
   x = 378,056.27