Finding the Third Proportional to 321,654.50 and 473,126

Step by Step Solution

1. Step 1: Write the proportion equation
   321,654.50 : 473,126 = 473,126 : x
2. Step 2: Convert to fraction form
   321,654.50/473,126 = 473,126/x
3. Step 3: Cross multiply
   321,654.50x = 473,126 × 473,126
4. Step 4: Simplify right side
   321,654.50x = 223,848,211,876
5. Step 5: Solve for x
   x = 223,848,211,876/321,654.50
6. Step 6: Final answer
   x = 695,927.50