Finding the Third Proportional to 510,691.50 and 742,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,691.50 : 742,063.50 = 742,063.50 : x
2. Step 2: Convert to fraction form
   510,691.50/742,063.50 = 742,063.50/x
3. Step 3: Cross multiply
   510,691.50x = 742,063.50 × 742,063.50
4. Step 4: Simplify right side
   510,691.50x = 550,658,238,032.25
5. Step 5: Solve for x
   x = 550,658,238,032.25/510,691.50
6. Step 6: Final answer
   x = 1,078,260.04