Finding the Third Proportional to 77,132 and 156,410

Step by Step Solution

1. Step 1: Write the proportion equation
   77,132 : 156,410 = 156,410 : x
2. Step 2: Convert to fraction form
   77,132/156,410 = 156,410/x
3. Step 3: Cross multiply
   77,132x = 156,410 × 156,410
4. Step 4: Simplify right side
   77,132x = 24,464,088,100
5. Step 5: Solve for x
   x = 24,464,088,100/77,132
6. Step 6: Final answer
   x = 317,171.71