Finding the Third Proportional to 829,229 and 1,742,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   829,229 : 1,742,009.50 = 1,742,009.50 : x
2. Step 2: Convert to fraction form
   829,229/1,742,009.50 = 1,742,009.50/x
3. Step 3: Cross multiply
   829,229x = 1,742,009.50 × 1,742,009.50
4. Step 4: Simplify right side
   829,229x = 3,034,597,098,090.25
5. Step 5: Solve for x
   x = 3,034,597,098,090.25/829,229
6. Step 6: Final answer
   x = 3,659,540.49