Finding the Third Proportional to 103,266 and 152,980

Step by Step Solution

1. Step 1: Write the proportion equation
   103,266 : 152,980 = 152,980 : x
2. Step 2: Convert to fraction form
   103,266/152,980 = 152,980/x
3. Step 3: Cross multiply
   103,266x = 152,980 × 152,980
4. Step 4: Simplify right side
   103,266x = 23,402,880,400
5. Step 5: Solve for x
   x = 23,402,880,400/103,266
6. Step 6: Final answer
   x = 226,627.16