Finding the Third Proportional to 74,956.50 and 156,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,956.50 : 156,838.50 = 156,838.50 : x
2. Step 2: Convert to fraction form
   74,956.50/156,838.50 = 156,838.50/x
3. Step 3: Cross multiply
   74,956.50x = 156,838.50 × 156,838.50
4. Step 4: Simplify right side
   74,956.50x = 24,598,315,082.25
5. Step 5: Solve for x
   x = 24,598,315,082.25/74,956.50
6. Step 6: Final answer
   x = 328,167.87