Finding the Third Proportional to 77,956.50 and 171,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,956.50 : 171,256.50 = 171,256.50 : x
2. Step 2: Convert to fraction form
   77,956.50/171,256.50 = 171,256.50/x
3. Step 3: Cross multiply
   77,956.50x = 171,256.50 × 171,256.50
4. Step 4: Simplify right side
   77,956.50x = 29,328,788,792.25
5. Step 5: Solve for x
   x = 29,328,788,792.25/77,956.50
6. Step 6: Final answer
   x = 376,219.93