Finding the Third Proportional to 77,294 and 162,890

Step by Step Solution

1. Step 1: Write the proportion equation
   77,294 : 162,890 = 162,890 : x
2. Step 2: Convert to fraction form
   77,294/162,890 = 162,890/x
3. Step 3: Cross multiply
   77,294x = 162,890 × 162,890
4. Step 4: Simplify right side
   77,294x = 26,533,152,100
5. Step 5: Solve for x
   x = 26,533,152,100/77,294
6. Step 6: Final answer
   x = 343,275.70