Finding the Third Proportional to 429,051.50 and 582,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   429,051.50 : 582,705.50 = 582,705.50 : x
2. Step 2: Convert to fraction form
   429,051.50/582,705.50 = 582,705.50/x
3. Step 3: Cross multiply
   429,051.50x = 582,705.50 × 582,705.50
4. Step 4: Simplify right side
   429,051.50x = 339,545,699,730.25
5. Step 5: Solve for x
   x = 339,545,699,730.25/429,051.50
6. Step 6: Final answer
   x = 791,386.81