Finding the Third Proportional to 406,029 and 567,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,029 : 567,652.50 = 567,652.50 : x
2. Step 2: Convert to fraction form
   406,029/567,652.50 = 567,652.50/x
3. Step 3: Cross multiply
   406,029x = 567,652.50 × 567,652.50
4. Step 4: Simplify right side
   406,029x = 322,229,360,756.25
5. Step 5: Solve for x
   x = 322,229,360,756.25/406,029
6. Step 6: Final answer
   x = 793,611.69