Finding the Third Proportional to 493,023 and 760,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   493,023 : 760,420.50 = 760,420.50 : x
2. Step 2: Convert to fraction form
   493,023/760,420.50 = 760,420.50/x
3. Step 3: Cross multiply
   493,023x = 760,420.50 × 760,420.50
4. Step 4: Simplify right side
   493,023x = 578,239,336,820.25
5. Step 5: Solve for x
   x = 578,239,336,820.25/493,023
6. Step 6: Final answer
   x = 1,172,844.55