Finding the Third Proportional to 107,748 and 234,488

Step by Step Solution

1. Step 1: Write the proportion equation
   107,748 : 234,488 = 234,488 : x
2. Step 2: Convert to fraction form
   107,748/234,488 = 234,488/x
3. Step 3: Cross multiply
   107,748x = 234,488 × 234,488
4. Step 4: Simplify right side
   107,748x = 54,984,622,144
5. Step 5: Solve for x
   x = 54,984,622,144/107,748
6. Step 6: Final answer
   x = 510,307.59