Finding the Third Proportional to 322,380 and 497,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,380 : 497,101.50 = 497,101.50 : x
2. Step 2: Convert to fraction form
   322,380/497,101.50 = 497,101.50/x
3. Step 3: Cross multiply
   322,380x = 497,101.50 × 497,101.50
4. Step 4: Simplify right side
   322,380x = 247,109,901,302.25
5. Step 5: Solve for x
   x = 247,109,901,302.25/322,380
6. Step 6: Final answer
   x = 766,517.47