Finding the Third Proportional to 77,178 and 156,500

Step by Step Solution

1. Step 1: Write the proportion equation
   77,178 : 156,500 = 156,500 : x
2. Step 2: Convert to fraction form
   77,178/156,500 = 156,500/x
3. Step 3: Cross multiply
   77,178x = 156,500 × 156,500
4. Step 4: Simplify right side
   77,178x = 24,492,250,000
5. Step 5: Solve for x
   x = 24,492,250,000/77,178
6. Step 6: Final answer
   x = 317,347.56