Finding the Third Proportional to 432,587 and 578,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   432,587 : 578,649.50 = 578,649.50 : x
2. Step 2: Convert to fraction form
   432,587/578,649.50 = 578,649.50/x
3. Step 3: Cross multiply
   432,587x = 578,649.50 × 578,649.50
4. Step 4: Simplify right side
   432,587x = 334,835,243,850.25
5. Step 5: Solve for x
   x = 334,835,243,850.25/432,587
6. Step 6: Final answer
   x = 774,029.83