Finding the Third Proportional to 103,630 and 152,042

Step by Step Solution

1. Step 1: Write the proportion equation
   103,630 : 152,042 = 152,042 : x
2. Step 2: Convert to fraction form
   103,630/152,042 = 152,042/x
3. Step 3: Cross multiply
   103,630x = 152,042 × 152,042
4. Step 4: Simplify right side
   103,630x = 23,116,769,764
5. Step 5: Solve for x
   x = 23,116,769,764/103,630
6. Step 6: Final answer
   x = 223,070.25