Finding the Third Proportional to 829,255.50 and 1,742,076

Step by Step Solution

1. Step 1: Write the proportion equation
   829,255.50 : 1,742,076 = 1,742,076 : x
2. Step 2: Convert to fraction form
   829,255.50/1,742,076 = 1,742,076/x
3. Step 3: Cross multiply
   829,255.50x = 1,742,076 × 1,742,076
4. Step 4: Simplify right side
   829,255.50x = 3,034,828,789,776
5. Step 5: Solve for x
   x = 3,034,828,789,776/829,255.50
6. Step 6: Final answer
   x = 3,659,702.94