Finding the Third Proportional to 78,140 and 171,292

Step by Step Solution

1. Step 1: Write the proportion equation
   78,140 : 171,292 = 171,292 : x
2. Step 2: Convert to fraction form
   78,140/171,292 = 171,292/x
3. Step 3: Cross multiply
   78,140x = 171,292 × 171,292
4. Step 4: Simplify right side
   78,140x = 29,340,949,264
5. Step 5: Solve for x
   x = 29,340,949,264/78,140
6. Step 6: Final answer
   x = 375,492.06