Finding the Third Proportional to 588,327 and 828,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   588,327 : 828,475.50 = 828,475.50 : x
2. Step 2: Convert to fraction form
   588,327/828,475.50 = 828,475.50/x
3. Step 3: Cross multiply
   588,327x = 828,475.50 × 828,475.50
4. Step 4: Simplify right side
   588,327x = 686,371,654,100.25
5. Step 5: Solve for x
   x = 686,371,654,100.25/588,327
6. Step 6: Final answer
   x = 1,166,649.93