Finding the Third Proportional to 77,763 and 170,142

Step by Step Solution

1. Step 1: Write the proportion equation
   77,763 : 170,142 = 170,142 : x
2. Step 2: Convert to fraction form
   77,763/170,142 = 170,142/x
3. Step 3: Cross multiply
   77,763x = 170,142 × 170,142
4. Step 4: Simplify right side
   77,763x = 28,948,300,164
5. Step 5: Solve for x
   x = 28,948,300,164/77,763
6. Step 6: Final answer
   x = 372,263.16