Finding the Third Proportional to 149,887.50 and 321,142

Step by Step Solution

1. Step 1: Write the proportion equation
   149,887.50 : 321,142 = 321,142 : x
2. Step 2: Convert to fraction form
   149,887.50/321,142 = 321,142/x
3. Step 3: Cross multiply
   149,887.50x = 321,142 × 321,142
4. Step 4: Simplify right side
   149,887.50x = 103,132,184,164
5. Step 5: Solve for x
   x = 103,132,184,164/149,887.50
6. Step 6: Final answer
   x = 688,063.94