Finding the Third Proportional to 176,972 and 383,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,972 : 383,468.50 = 383,468.50 : x
2. Step 2: Convert to fraction form
   176,972/383,468.50 = 383,468.50/x
3. Step 3: Cross multiply
   176,972x = 383,468.50 × 383,468.50
4. Step 4: Simplify right side
   176,972x = 147,048,090,492.25
5. Step 5: Solve for x
   x = 147,048,090,492.25/176,972
6. Step 6: Final answer
   x = 830,911.62