Finding the Third Proportional to 76,748 and 157,300

Step by Step Solution

1. Step 1: Write the proportion equation
   76,748 : 157,300 = 157,300 : x
2. Step 2: Convert to fraction form
   76,748/157,300 = 157,300/x
3. Step 3: Cross multiply
   76,748x = 157,300 × 157,300
4. Step 4: Simplify right side
   76,748x = 24,743,290,000
5. Step 5: Solve for x
   x = 24,743,290,000/76,748
6. Step 6: Final answer
   x = 322,396.54