Finding the Third Proportional to 78,633 and 171,090

Step by Step Solution

1. Step 1: Write the proportion equation
   78,633 : 171,090 = 171,090 : x
2. Step 2: Convert to fraction form
   78,633/171,090 = 171,090/x
3. Step 3: Cross multiply
   78,633x = 171,090 × 171,090
4. Step 4: Simplify right side
   78,633x = 29,271,788,100
5. Step 5: Solve for x
   x = 29,271,788,100/78,633
6. Step 6: Final answer
   x = 372,258.32