Finding the Third Proportional to 561,169 and 842,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   561,169 : 842,401.50 = 842,401.50 : x
2. Step 2: Convert to fraction form
   561,169/842,401.50 = 842,401.50/x
3. Step 3: Cross multiply
   561,169x = 842,401.50 × 842,401.50
4. Step 4: Simplify right side
   561,169x = 709,640,287,202.25
5. Step 5: Solve for x
   x = 709,640,287,202.25/561,169
6. Step 6: Final answer
   x = 1,264,575.00