Finding the Third Proportional to 175,334 and 383,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,334 : 383,472.50 = 383,472.50 : x
2. Step 2: Convert to fraction form
   175,334/383,472.50 = 383,472.50/x
3. Step 3: Cross multiply
   175,334x = 383,472.50 × 383,472.50
4. Step 4: Simplify right side
   175,334x = 147,051,158,256.25
5. Step 5: Solve for x
   x = 147,051,158,256.25/175,334
6. Step 6: Final answer
   x = 838,691.63