Finding the Third Proportional to 78,080 and 123,513

Step by Step Solution

1. Step 1: Write the proportion equation
   78,080 : 123,513 = 123,513 : x
2. Step 2: Convert to fraction form
   78,080/123,513 = 123,513/x
3. Step 3: Cross multiply
   78,080x = 123,513 × 123,513
4. Step 4: Simplify right side
   78,080x = 15,255,461,169
5. Step 5: Solve for x
   x = 15,255,461,169/78,080
6. Step 6: Final answer
   x = 195,382.44