Finding the Third Proportional to 103,690 and 152,221

Step by Step Solution

1. Step 1: Write the proportion equation
   103,690 : 152,221 = 152,221 : x
2. Step 2: Convert to fraction form
   103,690/152,221 = 152,221/x
3. Step 3: Cross multiply
   103,690x = 152,221 × 152,221
4. Step 4: Simplify right side
   103,690x = 23,171,232,841
5. Step 5: Solve for x
   x = 23,171,232,841/103,690
6. Step 6: Final answer
   x = 223,466.42