Finding the Third Proportional to 100,072 and 152,170.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100,072 : 152,170.25 = 152,170.25 : x
2. Step 2: Convert to fraction form
   100,072/152,170.25 = 152,170.25/x
3. Step 3: Cross multiply
   100,072x = 152,170.25 × 152,170.25
4. Step 4: Simplify right side
   100,072x = 23,155,784,985.06
5. Step 5: Solve for x
   x = 23,155,784,985.06/100,072
6. Step 6: Final answer
   x = 231,391.25