Finding the Third Proportional to 597,327 and 766,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   597,327 : 766,273.50 = 766,273.50 : x
2. Step 2: Convert to fraction form
   597,327/766,273.50 = 766,273.50/x
3. Step 3: Cross multiply
   597,327x = 766,273.50 × 766,273.50
4. Step 4: Simplify right side
   597,327x = 587,175,076,802.25
5. Step 5: Solve for x
   x = 587,175,076,802.25/597,327
6. Step 6: Final answer
   x = 983,004.41