Finding the Third Proportional to 103,617 and 152,013

Step by Step Solution

1. Step 1: Write the proportion equation
   103,617 : 152,013 = 152,013 : x
2. Step 2: Convert to fraction form
   103,617/152,013 = 152,013/x
3. Step 3: Cross multiply
   103,617x = 152,013 × 152,013
4. Step 4: Simplify right side
   103,617x = 23,107,952,169
5. Step 5: Solve for x
   x = 23,107,952,169/103,617
6. Step 6: Final answer
   x = 223,013.14