Finding the Third Proportional to 312,100 and 471,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,100 : 471,429.50 = 471,429.50 : x
2. Step 2: Convert to fraction form
   312,100/471,429.50 = 471,429.50/x
3. Step 3: Cross multiply
   312,100x = 471,429.50 × 471,429.50
4. Step 4: Simplify right side
   312,100x = 222,245,773,470.25
5. Step 5: Solve for x
   x = 222,245,773,470.25/312,100
6. Step 6: Final answer
   x = 712,097.96