Finding the Third Proportional to 83,565 and 126,056.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,565 : 126,056.25 = 126,056.25 : x
2. Step 2: Convert to fraction form
   83,565/126,056.25 = 126,056.25/x
3. Step 3: Cross multiply
   83,565x = 126,056.25 × 126,056.25
4. Step 4: Simplify right side
   83,565x = 15,890,178,164.06
5. Step 5: Solve for x
   x = 15,890,178,164.06/83,565
6. Step 6: Final answer
   x = 190,153.51