Finding the Third Proportional to 116,471 and 175,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,471 : 175,672.50 = 175,672.50 : x
2. Step 2: Convert to fraction form
   116,471/175,672.50 = 175,672.50/x
3. Step 3: Cross multiply
   116,471x = 175,672.50 × 175,672.50
4. Step 4: Simplify right side
   116,471x = 30,860,827,256.25
5. Step 5: Solve for x
   x = 30,860,827,256.25/116,471
6. Step 6: Final answer
   x = 264,965.76