Finding the Third Proportional to 64,080 and 137,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,080 : 137,632.50 = 137,632.50 : x
2. Step 2: Convert to fraction form
   64,080/137,632.50 = 137,632.50/x
3. Step 3: Cross multiply
   64,080x = 137,632.50 × 137,632.50
4. Step 4: Simplify right side
   64,080x = 18,942,705,056.25
5. Step 5: Solve for x
   x = 18,942,705,056.25/64,080
6. Step 6: Final answer
   x = 295,610.25