Finding the Third Proportional to 78,312 and 171,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,312 : 171,932.50 = 171,932.50 : x
2. Step 2: Convert to fraction form
   78,312/171,932.50 = 171,932.50/x
3. Step 3: Cross multiply
   78,312x = 171,932.50 × 171,932.50
4. Step 4: Simplify right side
   78,312x = 29,560,784,556.25
5. Step 5: Solve for x
   x = 29,560,784,556.25/78,312
6. Step 6: Final answer
   x = 377,474.52