Finding the Third Proportional to 78,906 and 114,212.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,906 : 114,212.25 = 114,212.25 : x
2. Step 2: Convert to fraction form
   78,906/114,212.25 = 114,212.25/x
3. Step 3: Cross multiply
   78,906x = 114,212.25 × 114,212.25
4. Step 4: Simplify right side
   78,906x = 13,044,438,050.06
5. Step 5: Solve for x
   x = 13,044,438,050.06/78,906
6. Step 6: Final answer
   x = 165,316.17