Finding the Third Proportional to 82,080 and 134,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,080 : 134,014.50 = 134,014.50 : x
2. Step 2: Convert to fraction form
   82,080/134,014.50 = 134,014.50/x
3. Step 3: Cross multiply
   82,080x = 134,014.50 × 134,014.50
4. Step 4: Simplify right side
   82,080x = 17,959,886,210.25
5. Step 5: Solve for x
   x = 17,959,886,210.25/82,080
6. Step 6: Final answer
   x = 218,809.53